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Geometry Ch. 12 Test Flashcards

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761342128prismhas 2 congruent bases and lateral faces0
761342129basecongruent polygonal faces opposite each other in a prism1
761342130lateral face(side face) face of a prism that is not a base2
761342131lateral edgeparallel segments formed by the edges of each lateral face in a prism3
761342132altitudesegment perpendicular to both bases4
761342133base edgesegment joining base and lateral face5
761342134LApr=PHLA of a prism6
761342135TApr=LA+2BTA of a prism7
761342136Vpr= BHV of a prism8
761342137base areaB9
761342138perimeterP10
761342139pyramidpolygon for base, vertex, and lateral faces11
761342140vertexpoint where lateral edges meet in a pyramid12
761342141lateral facescongruent triangles13
761342142lateral edgessegments from vertex to base in a pyramid14
761342143base edgeshorizontal segment joining base and lateral faces in a pyramid15
761342144slant heightheight of a lateral face16
761342145altitudeperpendicular segment from vertex to base17
761342146LApyr= 1/2 (p*l)LA of a pyramid18
761342147TApyr=LA+BTA of a pyramid19
761342148Vpyr=1/3 (B*h)V of a pyramid20
761342149h l trianglehypot.= l leg= h leg= s/221
761342150LE l trianglehypot= LE leg= l leg= s/222
761342151cylindersolid with 2 circular bases23
761342152right cylindercircular base directly above the other24
761342153altitude of a cylindersegment joining the centers of the circular bases25
761342154radius of a cylinderradius of a circular base26
761342155LAcyl=phLA of a cylinder27
761342156TAcyl=LA+2BTA of a cylinder28
761342157Vcyl= BhV of a cylinder29
761342158p=2 pi rp of a cylinder30
761342159B=pi r^2B of a cylinder31
761342160conehas a vertex and 1 circular base32
761342161LAcone= 1/2 (p*l)LA of a cone33
761342162TAcone=LA+ BTA of a cone34
761342163Vcone=1/3 (Bh)V of a cone35
761342164surface area of a sphereoutside area of a sphere36
761342165volume of a sphereinterior of the sphere and its shell37
761342166hemispherehalf of a sphere38
761342167Ss=4 pi r^2surface area of a sphere formula39
761342168Vs=4/3 pi r ^3volume of a sphere40
761342169Vh=2/3 pi r^3volume of a hemisphere41
761342170similar solidssolids that have the same shape but not necessarily the same size42

Geometry Chapter 12 Formulas Flashcards

THS Geometry Book for Chapter 12

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1456912059Edgessides/20
1456912060Euler's TheoremF+V=E+21
1456912061SA of a sphere4pi.r^22
1456912062V of a cone1/2pi.r^2h3
1456912063V of a pyramid1/3B(h)4
1456912064SA of a conepi.r^2+pi.r(l)5
1456912065V of a cylinderpi.r^2(h)6
1456912066TA of a regular pyramidB+1/2Pl7
1456912067LA of a square pyramid1/2P(l)8
1456912068LA of a conepi.r(l)9
1456912069SA of a cylinder2pi.r^2+ 2pi.r(h)10
1456912070LA of a cylinder2pi.r(h)11
1456912071Total Area/ Surface Area2B+P(h)12
1456912072LA of a right prism( P)h13

Geometry Chapter 12 Flashcards

Geometry Chapter 12 Conjectures

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377264758If one polygon is the image of another polygon under a dilation, then___________the polygons are similar0
377264759If the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are____________similar1
377264760If _______ angles of one triangle are congruent to _________ angles of another triangle, then _____________2, 2, the triangles are similar2
377264761If two sides of one triangle are proportional to the two sides of another triangle and _______________, then the two triangle are similarthe included angles are congruent3
377264762If two triangles are similar, then the corresponding __________, corresponding __________, and corresponding ______ ________ are _________ to the corresponding sides.altitudes, medians, angle bisectors, proportional4
377264763The angle bisector in a triangle divides the opposite side into two segments whose lengths are in the same ratio as ___________________the lengths of the two sides forming the angle.5
377264764If two similar polygons (or circles) have corresponding sides (or radii) in the ratio of m/n, then their areas are in the ratio of _________________m^2/n^26
377264765If two similar solids have corresponding dimensions in the ratio m/n, then their volumes are in the ratio of___________m^3/n^37
377264766If a line parallel to one side of a triangle passes through the other two sides, then it divides them ____________. Conversely, if a line cuts two sides of a triangle proportionally, then it is _________ to the third side.proportionally, parallel8
377264767If two or more lines pass through two sides of a triangle parallel to the third side, then they divide the two sides _________proportionally9

Geometry Chapter 12 Study Guide Flashcards

Geometry Honoers Chapter 12 Vocab and Steps Study Guide.

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817510911Composition of TransformationOne trasformation followed by another0
817510912IsometryA transformation that does not change the size or shape of a figure1
817510913PreimageThe original figure in a transformation2
817510914Glide ReflectionA composition of a translation and reflection across a line parallel to the translation vector3
817510915Composition of FunctionThe composition of functions f and g, written as (f•g)(x) and defined as f(g(x)) uses the output of g(x) as the input for f(x)4
817510916Line SymmetryA figure that can be reflected across a line so that the image coincides with the preimage.5
817510917Line of SymmetryA line that divides a plane figure into two congruent reflected halves6
817510918Rotational SymmetryA figure that can be rotated about a point by an angle less that 360° so that the image coincides with the preimage7
817510919Regular TessellationA repeating pattern of congruent regular polygons that completely covers a plane with no gaps or overlaps8
817510920Semiregular TessellationA repeating pattern formed by two or more regular polygons in which the same number of each polygon occur in the same order at every vertex and completely cover a plane with no gaps or overlaps.9
817510921TranslationA transformation in which all the points of a figure move the same distance in the same direction; the figure is moved along a vector so that all of the segments joining a poing and its image are congruent and parallel10
817510922Center of DilationThe intersection of the lines that connect each point of the image with the corresponding point of the preimage.11
817510923TransformationA change in the position, size, or shape of a figure. It maps the preimage to the image.12
817510924EnlargementA dilation with a scale factor greater than 1. In this, the image is larger than the preimage.13
817510925ReductionA dilation with a scale factor greater than 0 but less than 1. In this, the image is smaller than the preimage.14
817510926Steps for Rotation1.Draw lines from vertices to center. 2. Duplicate angle along lines. 3. Measure distance from center to angle measures 4. Put measures on the new angle measurement lines (duplicate new lines) 5. Connect points15
817510927Steps for Translation1. Move along vector and with the direction and magnitude.16
817510928Steps for Reflection1. Draw points equal distance from the line.17
817510929Steps for Glide Reflection1. Translate. 2. Reflect18
817510930(x, y) to (x, -y)Reflected across the x-axis19
817510931(x, y) to (-x, y)Reflected across the y-axis20
817510932(x, y) to (y, x)Reflected across the line y=x21
817510933(x, y) to (x+a, y)Horizontal Translation along the vector (a, 0)22
817510934(x, y) to (x, y+b)Vertical Translation along the vector (0, b)23
817510935(x, y) to (x+a, y+b)General Translation along the vector (a, b)24
817510936(x, y) to (-y, x)Rotated 90° about the origin25
817510937(x, y) to (-x, -y)Rotated 180° about the origin26

LWC1/EST1: Ethics Chapters 1-4 Ethical Issues In Business Flashcards

Competency 310.2.1: Ethical Issues in Business: The graduate can determine ethical and socially responsible courses of action in a given business situation.
Competency 310.2.3: Ethics Programs - The graduate can develop an appropriate and comprehensive ethics program for a given business venture.
Competency 310.2.4: Use of Company Resources: The graduate makes appropriate judgments regarding proper use of company resources.
Ferrell, O. C., Fraedrich, J., & Ferrell, L. (2008) Business ethics: Ethical decision making and cases (7th ed.). Boston, MA: South-Western/Cengage Learning. ISBN-13: 9780618749348.

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2004194779Define: EthicsThe study and practice of decisions about what is good or right (inquiry into the nature and grounds of morality where the term morality is taken to mean moral judgments, standards and rules of conduct; the study of the general nature of morals and of specific moral choices; moral philosophy; and the rules or standards governing the conduct of the members of a profession)0
2004194780Define: Business EthicsPrinciples and standards that guide behavior in the world of Business; the application of ethics to the problems and opportunities experienced by business people (whether business practices are acceptable)1
2004194781Define: Living Wageincome sufficient for education, recreation, health, and retirement2
2004194782List the four consumer rights presented by JFK.* right to safety, * right to be informed, * right to choose, and * right to be heard.3
2004194783List the six principles proposed by the Defense Industry Initiative on Business Ethics and Conduct (DII).1. support codes of conduct 2. provide ethics training 3. create an open atmosphere 4. perform extensive internal audits and reporting 5. preserve the integrity of the defense industry 6. adopt a philosophy of public accountability4
2004194784Define: Ethical Culturecharacter or decision making process that employees use to determine whether their responses to ethical issues are right or wrong; the component of corporate culture that captures the rules and principles that an organization defines as appropriate conduct5
2004194785List the steps for developing an ethical culture in an organization.* Communicate core values to employees * Create ethics programs * Appoint ethic officers to oversee them6
2004194786List the three benefits to business of a clear Ethical Culture* Employee commitment and trust * Investor loyalty * Customer Satisfaction and trust (which all lead to increased profits)7
2004194787List four issues that may foster the development of Ethical Culture.* absence of abusive behavior, * a safe work environment, * competitive salaries, and * fulfillment of all contractual obligations toward employees8
2004194788Define: Sweat Shopfacilities that abuse or underpay their work force9
2004194789List the five stages of Business Ethics Development.1. before 1960, 2. the 1960s, 3. the 1970s, 4. the 1980s, and 5. the 1990s (and continues to evolve in the twenty-first century)10
2004194790Describe: Business Ethics before 1960Religious Perspective * Fair Deal program defined civil rights and environmental responsibilities as ethical issues business had to address11
2004194791Describe: Business Ethics 1960'sSocial Issues & Consumerism * Rise of social issues in Business * Society turned to causes * culminated the "consumer bill of rights"12
2004194792Describe: Business Ethics 1970'sEnlightenment Begins * Business Ethics emerging as a field * explored ethical issues attempting to understand how decisions were made * social responsibility and organizations responsibility have a positive impact13
2004194793Describe: Business Ethic's 1980'sConsolidation and Implementation Starts * centers on Business ethics provided publications, courses, and seminars * companies established ethics committees * The Defense Industry on Business Ethics and Conduct was developed14
2004194794Describe: Business Ethics 1990'sInstitutionalization of Business Ethics * Government continued to support self regulation * Federal Sentencing Guidelines for Organizations (FSGO) set the tone for organizational misconduct (the Stick!)15
2004194795Describe: Business Ethics 2000'sA new focus on Business Ethics * Sarbanes-Oxley Act of 2002 stiffened penalties for corporate fraud and established an accounting oversight board * 2004 amendment to FSGO required business governing authority be well informed about its ethics program16
2004194796T/F: Business ethics focuses mostly on personal ethical issues.False (Business ethics focuses on organizational concerns - legal and ethical—employees, customers, suppliers, society)17
2004194797T/F: Business ethics deals with right or wrong behavior within a particular organization.True (Definition)18
2004194798T/F: The 1990s could be characterized as the period when ethics programs were greatly influenced by government legislation.True (The impact of the FSGO means that the 1990s are seen as the period in which business ethics were institutionalized.)19
2004194799T/F: Business ethics contributes to investor loyalty.True (Many studies have shown that trust and ethical conduct contribute to investor loyalty.)20
2004194800T/F: The trend is away from cultural or ethically based initiatives to legal initiatives in organizations.False (Many businesses are communicating their core values to their employees by creating ethics programs and appointing ethics officers to oversee them.)21
2004194801Define: Corporate Governanceformal system of accountability, oversight, and control of ethical and socially responsible behavior (system by which companies are directed and controlled; a set of relationships between a company's management, its board, its shareholders and other stakeholders; it deals with prevention or mitigation of the conflict of interests of stakeholders)22
2004194802Define: Stakeholderanyone who has a "stake" or claim in some aspect of a company's products, operations, markets, industry, and outcomes23
2004194803T/F: Stakeholders provide resources that are more or less critical to a firm's long-term success. These resources may be both tangible and intangible. Stakeholders' ability to withdraw—or to threaten to withdraw—these needed resources gives them power over businesses.True24
2004194804List the two types of Stakeholders* Primary * Secondary25
2004194805Describe: Primary Stakeholdersthose whose continued association is absolutely necessary for a firm's survival26
2004194806List the Primary StakeholdersCustomers Investors Employees Shareholders Government (regulation agencies) Communities (infrastructure)27
2004194807Describe: Secondary Stakeholdersthose that do not typically engage in transactions with a company and thus are not essential for its survival28
2004194808List the Secondary Stakeholders.Media Trade Associations Special Interest Groups Competitors29
2004194809Define: Stakeholder Orientationdegree to which a firm understands and addresses stakeholder demands30
2004194810List the activities associated with Stakeholder Orientation.1. generation of data about stakeholder groups and assessment of the firm's effects on these groups, 2. the distribution of this information throughout the firm, and 3. the organization's responsiveness to this intelligence.31
2004194811List/Describe the four steps to Social Responsibility.* Economic - maximizing stakeholder wealth and value * Legal - abiding by all laws and government regulations * Ethical - following standards of acceptable behavior * Philanthropic - giving back to society32
2004194812Define: Corporate Citizenshipextent to which businesses strategically meet social responsibilities placed on them by their various stakeholders33
2004194813List the four interrelated dimensions of Corporate Citizenship.• Strong sustained economic performance • Rigorous compliance • Ethical actions beyond what is required by the law • Voluntary contributions that advance reputation and stakeholder commitment34
2004194814Describe: International Organization for Standardization (ISO) 26000corporate responsibility guideline (assist organizations in contributing to sustainable development; intended to encourage them to go beyond legal compliance)35
2004194815Define: Philanthropic Responsibilityactivities that are not required of businesses but promote human welfare or goodwill36
2004194816T/F: Governance also provides mechanisms for identifying risks and for planning for recovery when mistakes or problems occur. A governance system that does not provide checks and balances creates opportunities for top managers to put their own self-interests before those of important stakeholders.True37
2004194817Define: FiduciariesPersons placed in positions of trust who use due care and loyalty in acting on behalf of the best interests of the organization.38
2004194818T/F: Conflicts of interest exist when a director uses the position to obtain personal gain usually at the expense of the organization.True (violation of fiduciary duties to stakeholders)39
2004194819T/F: Directors are not held responsible for negative outcomes if they are informed and diligent in their decision making. This means they have an obligation to request information, research, use accountants and attorneys, and obtain the services of ethical compliance consultants.True40
2004194820List the three major components of Corporate Governance.* Accountability, * Oversight, and * Control41
2004194821Define: Accountabilityhow closely workplace decisions are aligned with a firm's stated strategic direction and its compliance with ethical and legal considerations42
2004194822Define: Oversighta system of checks and balances that limit employees' and managers' opportunities to deviate from policies and strategies and that prevent unethical and illegal activities43
2004194823Define: Controlprocess of auditing and improving organizational decisions and actions44
2004194824List the major Corporate Governance Issues.* Shareholder rights * Executive compensation * Composition and structure of the board of directors * Auditing and control * Risk management * CEO selection and termination decisions * Integrity of financial reporting * Stakeholder participation and input into decisions * Compliance with corporate governance reform * Role of the CEO in board decisions * Organizational ethics programs45
2004194825Describe: Shareholder Model of Corporate Governancefocuses on developing and improving the formal system for maintaining performance accountability between top management and the firm's shareholders (Maximizing wealth for investors and owners; drives a firm's decisions toward serving the best interest of investors)46
2004194826Describe: Stakeholders Model of Corporate Governancecreating governance systems that consider stakeholder welfare in tandem with corporate needs and interests (Managers implement appropriate mechanisms to develop long term relationships)47
2004194827List the six steps for Implementing a Stakeholder Perspective1. Assessing the Corporate Culture 2. Identifying Stakeholder Groups 3. Identifying Stakeholder Issues 4. Assessing Organizational Commitment to Social Responsibility 5. Identifying Resources and Determining Urgency 6. Gaining Stakeholder Feedback48
2004194828T/F: Social responsibility in business refers to maximizing the visibility of social involvement.False (Social responsibility refers to an organization's obligation to maximize its positive impact on society and minimize its negative impact.)49
2004194829T/F: Stakeholders provide resources that are more or less critical to a firm's long-term success.True (These resources are both tangible and intangible.)50
2004194830T/F: Three primary stakeholders are customers, special-interest groups, and the media.False (Although customers are primary stakeholders, special-interest groups are usually considered secondary stakeholders.)51
2004194831T/F: The most significant influence on ethical behavior in the organization is the opportunity to engage in unethical behavior.False (Ignorant others have more impact on ethical decisions within the organization.)52
2004194832T/F: The stakeholder perspective is useful in managing social responsibility and business ethics.True (Refer to the six steps!)53
2004194833List the three Universal ethical concepts that pervade business ethics.* honesty, * fairness, and * integrity54
2004194834Define: Honestytruthfulness or trustworthiness55
2004194835Define: Dishonesty.ack of integrity, incomplete disclosure, and an unwillingness to tell the truth. Dishonesty is also synonymous with lying, cheating, and stealing.56
2004194836Define: Fairnessthe quality of being just, equitable, and impartial57
2004194837List the three fundamental elements of Fairness.• Equality • Reciprocity • Optimization58
2004194838Define: EqualityHow wealth or income is distributed between employees within a company, a country, or across the globe59
2004194839Define: Reciprocityan interchange of giving and receiving in social relationships (the return of small favors that are approximately equal in value; ex: workers are compensated with wages that are approximately equal to their effort)60
2004194840Define: Integritybeing whole, sound, and in an unimpaired condition (one of the most important and often-cited terms regarding virtue)61
2004194841Define: Optimizationtradeoff between equity and efficiency62
2004194842T/F: Businesses are expected to follow all applicable laws and regulations, and should not knowingly harm customers, clients, employees, or even other competitors through deception, misrepresentation, or coercion if they have integrity.True63
2004194843Define: Ethical Issue.a problem, situation, or opportunity that requires an individual, group, or organization to choose among several actions that must be evaluated as right or wrong, ethical or unethical64
2004194844Define: Ethical Dilemma.a problem, situation, or opportunity that requires an individual, group, or organization to choose among several wrong or unethical actions. (A problem about what a firm should do for which no clear, right decision is available)65
2004194845List the common Ethical Issues.• abusive or intimidating behavior, • lying, • conflict of interest, • bribery, • corporate intelligence, • discrimination, • sexual harassment, • environmental issues, • fraud, • insider trading, • intellectual-property rights, and • privacy issues66
2004194846T/F: Characteristics of the job, the culture, and the organization of the society in which one does business can create ethical issues.True67
2004194847Describe: Abusive or Intimidating Behaviorphysical threats, false accusations, being annoying, profanity, insults, yelling, harshness, ignoring someone, and unreasonableness (most common ethical problem for employers)68
2004194848Define: Lying.misrepresentation and distorting the truth69
2004194849List the three forms of Lying* causing damage or harm, * a "white lie" which doesn't cause damage, or * statements that are obviously meant to engage or entertain with no malice70
2004194850List the types of lying that cause Business Ethical Issues.* Commission Lying * Omission Lying71
2004194851Describe: Commission Lyingcreating a perception or belief by words that intentionally deceive the receiver of the message (Includes Noise & Puffery in advertising)72
2004194852Define: Noise as related to Commission Lying.technical explanations that the communicator knows the receiver does not understand73
2004194853Define: Omission Lyingwithholding information of a material nature (intentionally not informing the channel member of any differences, problems, safety warnings, or negative issues relating to the product, service, or company that significantly affects awareness, intention, or behavior)74
2004194854T/F: When lying damages others, it can be the focus of a lawsuit. When a lie becomes unethical in business, it is based on the context and intent to distort the truth. A lie becomes illegal if it is determined by the judgment of courts to damage others.True75
2004194855Define: Conflict of interestexist when an individual must chose whether to advance his or her own interests those of the organization or those of some other group (To avoid conflicts of interest, employees must be able to separate their private interests from their business dealings.)76
2004194856Define: Briberypractice of offering something usually money in order to gain an illicit advantage77
2004194857List/Describe the two type of Bribery.• Active Bribery - an offense committed by the person who promises or gives the bribe • Passive Bribery - an offense committed by the official who receives the bribe. (It is not an offense, however, if the advantage was permitted or required by the written law or regulation of the foreign public official's country, including case law.)78
2004194858T/F: Facilitation Payments are payments made to obtain or retain business or other improper advantages and do not constitute bribery payments.True79
2004194859Define: Corporate Intelligence (CI) .the collection and analysis of information on markets, technologies, customers, and competitors, as well as on socioeconomic and external political trends (Corporate intelligence involves an in-depth discovery of information from corporate records, court documents, regulatory filings, and press releases, as well as any other background information that can be found about a company or its executives.)80
2004194860T/F: Proprietary information like secret formulas, manufacturing schematics, merger or acquisition plans, and marketing strategies all have tremendous value.True81
2004194861List the two primary methods of collection Corporate Intelligence.* Hacking * Social Engineering82
2004194862Define: Hacking.Manipulation of electronic equipment to gain information. (depending on actual method, hacking may be illegal as well as unethical)83
2004194863List/Describe the three hacking methodso System Hacking - the attacker already has access to a low-level, privileged-user account. o Remote Hacking - attempting to penetrate remotely a system across the Internet. o Physical Hacking - the CI agent enters the facility84
2004194864Define: Social Engineering.tricking of individuals into revealing their passwords or other valuable corporate information85
2004194865List the common methods of Social Engineering.o Shoulder Surfing o Password Guessing o Phishing o Dumpster Diving o Whacking o Eavesdropping86
2004194866Define: Discrimination.any negative action committed the basis of someone's race, color, religion, sex, marital status, sexual orientation, public assistance status, disability, age, national origin, or veteran status87
2004194867Define: Harassment.discrimination on the basis of political opinions or affiliation with a union88
2004194868Define: Sexual Harassment.any repeated, unwanted behavior of a sexual nature perpetrated upon one individual by another89
2004194869List the actions a company must take to avoid charges of Sexual Harassment.1. A statement of policy 2. A definition of sexual harassment 3. A non-retaliation policy 4. Specific procedures for prevention 5. Establish, enforce, and encourage victims of sexual harassment to report the behavior to authorized individuals. 6. Establish a reporting procedure. 7. Make sure that the company has timely reporting requirements to the proper authorities.90
2004194870Define: Fraud.deceptive practices to advance his or her own interests over those of his or her organization or some other group; any purposeful communication that deceives, manipulates, or conceals facts in order to create a false impression91
2004194871List the three major types of fraud.* Accounting * Marketing * Consumer92
2004194872Define: Insider Trading.buying or selling of stocks by insiders who possess material that is still not public93
2004194873Define: Intellectual Property Rights.legal protection of intellectual properties such as music, books, and movies94
2004194874T/F: Laws such as the Copyright Act of 1976, the Digital Millennium Copyright Act, and the Digital Theft Deterrence and Copyright Damages Improvement Act of 1999 were designed to protect the creators of intellectual property.True95
2004194875Describe: Privacy Issues.* consumer awareness of information collection, * consumer control over how companies use the personal information96
2004194876T/F: Business can be considered a game people play like basketball or boxing.False (People are not economically self-sufficient and cannot withdraw from the game of business.)97
2004194877T/F: Key ethical issues in an organization relate to fraud, discrimination, honesty and fairness, conflicts of interest, and technology.True (See pages 64-82 regarding these key ethical issues and their implications for the organization.)98
2004194878T/F: Over half of a national sample of employees observe some type of misconduct.True (Figure 3-2 indicates observed misconduct by employees.)99
2004194879T/F: Fraud occurs when a false impression exists, which conceals facts.False (Fraud must be purposeful, rather than accidental, and exists when deception and manipulation of facts are concealed to create a false impression that causes harm.)100
2004194880T/F: The most observed form of misconduct is fraud.False (The most observed form of misconduct in Table 3-1 is abusive or intimidating behavior toward employees)101
2004194881Describe: Voluntary Boundaries of Ethical Behaviormanagement initiated boundaries of conduct (beliefs, values, voluntary policies)102
2004194882Describe: Mandated Boundaries of Ethical Behavioran externally imposed boundaries of conduct (laws, rules, regulations)103
2004194883T/F: Laws are categorized as either civil or criminal. Laws establish the basic ground rules for responsible business activities.True104
2004194884Define: Core Practice.A highly appropriate and common practice that helps ensure compliance with legal requirements, Industry self-regulation, and societal expectations (documented best practices, often encouraged by legal and regulatory forces as well as industry trade associations)105
2004194885List the Mandated Requirements for Legal Compliance* Laws Regulating Competition * Laws Protecting Consumers * Laws Promoting Equity and Safety * Laws Protecting the Environment106
2004194886Define: Philanthropygiving back to communities and causes107
2004194887Managing Responsibility and Business EthicsThe steps include: assessing the corporate culture; identifying stakeholder groups; identifying stakeholder issues; assessing the organizational commitment to social responsibility; identifying resources and determining urgency; gaining stakeholder feedback.108
2004194888Describe: Civil Law.the rights and duties of individuals and organizations109
2004194889Describe: Criminal Law.prohibits specific actions, such as fraud, theft, or securities trading violations, but also imposes fines or imprisonment as punishment (the state or nation enforces criminal laws)110
2004194890List the four sources of Civil & Criminal Law.• U.S. Constitution (constitutional law), • precedents established by judges (common law), • federal and state laws or statutes (statutory law), and • federal and state administrative agencies (administrative law).111
2004194891List the five common categories of Laws & Regulations1. regulation of competition, 2. protection of consumers, 3. promotion of equity and safety, 4. protection of the natural environment, and 5. incentives to encourage organizational compliance programs to deter misconduct112
2004194892Describe: Federal Sentencing Guidelines For Organizations (FSGO)• an incentive for organizations to develop and implement programs designed to foster ethical and legal compliance (1991) • developed by the U.S. Sentencing Commission • apply to all felonies and class A misdemeanors committed by employees in association with their work113
2004194893T/F: Organizations that have demonstrated due diligence in developing effective compliance programs that discourage courage unethical and illegal conduct may be subject to reduced organizational penalties if an employee commits a crime.True114
2004194894List the seven steps of Due Diligence.1. A firm must develop and disseminate a code of conduct 2. High-ranking personnel must have oversight over the program. 3. No one with a known propensity to engage in misconduct should be put in a position of authority. 4. A communications system for disseminating standards and procedures 5. Organizational communications should include a way for employees to report misconduct 6. If misconduct is detected, then the firm must take appropriate and fair disciplinary action. 7. After misconduct has been discovered, the organization must take steps to prevent similar offenses in the future.115
2004194895T/F: Core practices move the emphasis from a focus on individuals' moral capability to developing structurally sound organization core practices and developing structural integrity for both financial performance and non-financial performance.True116
2004194896List the four benefits of Philanthropic Contributions by a business.• improves the quality of life and helps make communities places where people want to do business, raise families, and enjoy life. • reduces government involvement by providing assistance to stakeholders. • develops employee leadership skills. • helps create an ethical culture and the values that can act as a buffer to organizational misconduct.117
2004194897Define: Strategic Philanthropythe synergistic and mutually beneficial use of an organization's core competencies and resources to deal with key stakeholders so as to bring about organizational and societal benefits.118
2004194898T/F: Voluntary practices include documented best practices.False (Core practices are documented best practices.)119
2004194899T/F: The primary method for resolving business ethics disputes is through the criminal court system.False (Lawsuits and civil litigation are the primary way in which business ethics disputes are resolved.)120
2004194900T/F: The FSGO provides an incentive for organizations to conscientiously develop and implement ethics programs.True (Well-designed ethics and compliance programs can minimize legal liability when organizational misconduct is detected.)121
2004194901T/F: The Sarbanes-Oxley Act encourages CEOs and CFOs to report their financial statements accurately.False (The Sarbanes-Oxley Act requires CEOs and CFOs to accurately report their financial statements to a federal oversight committee; they must sign the document and are held personally liable for any inaccuracies.)122
2004194902T/F: Strategic philanthropy represents a new direction in corporate giving that maximizes the benefit to societal or community needs and relates to business objectives.True (Strategic philanthropy helps both society and the organization.)123
2004194903Multiple Choice: In analyzing a situation to determine how to act ethically, a business manager should: A. gather background information by either talking firsthand with the people involved or by talking to those who gained information informally through the company "grapevine." B. narrowly focus on a single issue. C. determine whether an alternative is "just." D. All of the answers are correct.C124
2004194904Multiple Choice: Zeno, Inc. is considering relocating its manufacturing facility from Illinois to Mexico City. The stakeholders in this decision might include: A. Zeno's shareholders. B. customers. C. the Illinois community in which Zeno operates. D. All of the above.D125
2004194905Multiple Choice: Why should ethics be a concern to business? A. Society as a whole benefits from ethical behavior. B. People feel better when they behave ethically. C. Unethical behavior can be very costly. D. All of the above.D126
2004194906Multiple Choice: Why do many major corporations actively encourage ethical behavior? A. Unethical behavior always damages a business. B. Unethical behavior can quickly destroy a business. C. Unethical acts are always illegal. D. All of the above are reasons that corporations actively encourage ethical behavior.B127

Convergence/Divergence Tests (AP Calculus BC) Flashcards

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1323758674test for divergencediverges if lim(n→∞)≠00
1323758675geometric seriesconverges when |r|<1 diverges when |r|≥11
1323758676p-seriesconverges when p>1 diverges when 02
1323758677integral testconverges if 1∫∞f(x)dx converges diverges if 1∫∞f(x)dx diverges Basically, if integral converges/diverges, then series will do the same3
1323758678direct comparison testconverges when an≤bn and bn converges diverges when an≥bn and bn diverges4
1323758679limit comparison test1.) if lim(n→∞) an/cn = 0 and cn converges, so does an 2.) if lim(n→∞) an/cn = ∞ and cn diverges, so does an 3.) if lim(n→∞) an/cn = any other real number, then both series have same status (both converge/diverge)5
1323758680ratio testconverges if L<1 diverges if L>1 inconclusive if L = 1 (try another test!)6
1323758681alternating series testconverges if dec and lim(n→∞)=07
1323758682absolute convergenceif ∑|an| converges then ∑an converges8
1327246396nth term test1.) if lim(n→∞) an = ∞ or any nonzero #, then the terms are inc in value, and series diverges 2.) if lim(n→∞) an = 0, inconclusive (try a different test!)9

AP Calculus BC Exam Flashcards

Statesville Christian School AP Calculus Class

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735253488Intermediate Value TheoremIf f(1)=-4 and f(6)=9, then there must be a x-value between 1 and 6 where f crosses the x-axis.0
735253489Average Rate of ChangeSlope of secant line between two points, use to estimate instantanous rate of change at a point.1
735253490Instantenous Rate of ChangeSlope of tangent line at a point, value of derivative at a point2
735253491Formal definition of derivativelimit as h approaches 0 of [f(a+h)-f(a)]/h3
735253492Alternate definition of derivativelimit as x approaches a of [f(x)-f(a)]/(x-a)4
735253493When f '(x) is positive, f(x) isincreasing5
735253494When f '(x) is negative, f(x) isdecreasing6
735253495When f '(x) changes from negative to positive, f(x) has arelative minimum7
735253496When f '(x) changes fro positive to negative, f(x) has arelative maximum8
735253497When f '(x) is increasing, f(x) isconcave up9
735253498When f '(x) is decreasing, f(x) isconcave down10
735253499When f '(x) changes from increasing to decreasing or decreasing to increasing, f(x) has apoint of inflection11
735253500When is a function not differentiablecorner, cusp, vertical tangent, discontinuity12
735253501Product Ruleuv' + vu'13
735253502Quotient Rule(uv'-vu')/v²14
735253503Chain Rulef '(g(x)) g'(x)15
735253504y = x cos(x), state rule used to find derivativeproduct rule16
735253505y = ln(x)/x², state rule used to find derivativequotient rule17
735253506y = cos²(3x)chain rule18
735253507Particle is moving to the right/upvelocity is positive19
735253508Particle is moving to the left/downvelocity is negative20
735253509absolute value of velocityspeed21
735253510y = sin(x), y' =y' = cos(x)22
735253511y = cos(x), y' =y' = -sin(x)23
735253512y = tan(x), y' =y' = sec²(x)24
735253513y = csc(x), y' =y' = -csc(x)cot(x)25
735253514y = sec(x), y' =y' = sec(x)tan(x)26
735253515y = cot(x), y' =y' = -csc²(x)27
735253516y = sin⁻¹(x), y' =y' = 1/√(1 - x²)28
735253517y = cos⁻¹(x), y' =y' = -1/√(1 - x²)29
735253518y = tan⁻¹(x), y' =y' = 1/(1 + x²)30
735253519y = cot⁻¹(x), y' =y' = -1/(1 + x²)31
735253520y = e^x, y' =y' = e^x32
735253521y = a^x, y' =y' = a^x ln(a)33
735253522y = ln(x), y' =y' = 1/x34
735253523y = log (base a) x, y' =y' = 1/(x lna)35
735253524To find absolute maximum on closed interval [a, b], you must consider...critical points and endpoints36
735253525mean value theoremif f(x) is continuous and differentiable, slope of tangent line equals slope of secant line at least once in the interval (a, b) f '(c) = [f(b) - f(a)]/(b - a)37
735253526If f '(x) = 0 and f"(x) > 0,f(x) has a relative minimum38
735253527If f '(x) = 0 and f"(x) < 0,f(x) has a relative maximum39
735253528Linearizationuse tangent line to approximate values of the function40
735253529ratederivative41
735253530left riemann sumuse rectangles with left-endpoints to evaluate integral (estimate area)42
735253531right riemann sumuse rectangles with right-endpoints to evaluate integrals (estimate area)43
735253532trapezoidal ruleuse trapezoids to evaluate integrals (estimate area)44
735253533[(h1 - h2)/2]*basearea of trapezoid45
735253534definite integralhas limits a & b, find antiderivative, F(b) - F(a)46
735253535indefinite integralno limits, find antiderivative + C, use inital value to find C47
735253536area under a curve∫ f(x) dx integrate over interval a to b48
735253537area above x-axis ispositive49
735253538area below x-axis isnegative50
735253539average value of f(x)= 1/(b-a) ∫ f(x) dx on interval a to b51
735253540If g(x) = ∫ f(t) dt on interval 2 to x, then g'(x) =g'(x) = f(x)52
735253541Fundamental Theorem of Calculus∫ f(x) dx on interval a to b = F(b) - F(a)53
735253542To find particular solution to differential equation, dy/dx = x/yseparate variables, integrate + C, use initial condition to find C, solve for y54
735253543To draw a slope field,plug (x,y) coordinates into differential equation, draw short segments representing slope at each point55
735253544slope of horizontal linezero56
735253545slope of vertical lineundefined57
735253546methods of integrationsubstitution, parts, partial fractions58
735253547use substitution to integrate whena function and it's derivative are in the integrand59
735253548use integration by parts whentwo different types of functions are multiplied60
735253549∫ u dv =uv - ∫ v du61
735253550use partial fractions to integrate whenintegrand is a rational function with a factorable denominator62
735253551dP/dt = kP(M - P)logistic differential equation, M = carrying capacity63
735253552P = M / (1 + Ae^(-Mkt))logistic growth equation64
735253553given rate equation, R(t) and inital condition when t = a, R(t) = y₁ find final value when t = by₁ + Δy = y Δy = ∫ R(t) over interval a to b65
735253554given v(t) and initial position t = a, find final position when t = bs₁+ Δs = s Δs = ∫ v(t) over interval a to b66
735253555given v(t) find displacement∫ v(t) over interval a to b67
735253556given v(t) find total distance travelled∫ abs[v(t)] over interval a to b68
735253557area between two curves∫ f(x) - g(x) over interval a to b, where f(x) is top function and g(x) is bottom function69
735253558volume of solid with base in the plane and given cross-section∫ A(x) dx over interval a to b, where A(x) is the area of the given cross-section in terms of x70
735253559volume of solid of revolution - no washerπ ∫ r² dx over interval a to b, where r = distance from curve to axis of revolution71
735253560volume of solid of revolution - washerπ ∫ R² - r² dx over interval a to b, where R = distance from outside curve to axis of revolution, r = distance from inside curve to axis of revolution72
735253561length of curve∫ √(1 + (dy/dx)²) dx over interval a to b73
735253562L'Hopitals ruleuse to find indeterminate limits, find derivative of numerator and denominator separately then evaluate limit74
735253563indeterminate forms0/0, ∞/∞, ∞*0, ∞ - ∞, 1^∞, 0⁰, ∞⁰75
7352535646th degree Taylor Polynomialpolynomial with finite number of terms, largest exponent is 6, find all derivatives up to the 6th derivative76
735253565Taylor seriespolynomial with infinite number of terms, includes general term77
735253566nth term testif terms grow without bound, series diverges78
735253567alternating series testlim as n approaches zero of general term = 0 and terms decrease, series converges79
735253568converges absolutelyalternating series converges and general term converges with another test80
735253569converges conditionallyalternating series converges and general term diverges with another test81
735253570ratio testlim as n approaches ∞ of ratio of (n+1) term/nth term > 1, series converges82
735253571find interval of convergenceuse ratio test, set > 1 and solve absolute value equations, check endpoints83
735253572find radius of convergenceuse ratio test, set > 1 and solve absolute value equations, radius = center - endpoint84
735253573integral testif integral converges, series converges85
735253574limit comparison testif lim as n approaches ∞ of ratio of comparison series/general term is positive and finite, then series behaves like comparison series86
735253575geometric series testgeneral term = a₁r^n, converges if -1 < r < 187
735253576p-series testgeneral term = 1/n^p, converges if p > 188
735253577derivative of parametrically defined curve x(t) and y(t)dy/dx = dy/dt / dx/dt89
735253578second derivative of parametrically defined curvefind first derivative, dy/dx = dy/dt / dx/dt, then find derivative of first derivative, then divide by dx/dt90
735253579length of parametric curve∫ √ (dx/dt)² + (dy/dt)² over interval from a to b91
735253580given velocity vectors dx/dt and dy/dt, find speed√(dx/dt)² + (dy/dt)² not an integral!92
735253581given velocity vectors dx/dt and dy/dt, find total distance travelled∫ √ (dx/dt)² + (dy/dt)² over interval from a to b93
735253582area inside polar curve1/2 ∫ r² over interval from a to b, find a & b by setting r = 0, solve for theta94
735253583area inside one polar curve and outside another polar curve1/2 ∫ R² - r² over interval from a to b, find a & b by setting equations equal, solve for theta.95

Calculus BC Formula Review Flashcards

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772336699(f*g)'f'g+g'f0
772336700(f/g)'(f'g-g'f)/g²1
772336701(f(g))'f'(g)*g'2
772336702(sin(x))'cos(x)3
772336703(cos(x))'-sin(x)4
772336704(tan(x))'sec(x)²5
772336705(cot(x))'-csc(x)²6
772336706(sec(x))'sec(x)tan(x)7
772336707(csc(x))'-csc(x)cot(x)8
772336708(e^x)'e^x9
772336709(a^x)'a^x*ln(a)10
772336710(ln(x))'1/x11
772336711(arcsin(x) or arccos(x))'±dx/√(1-x²)12
772336712(arctan(x) or arccot(x))'±dx/(1+x²)13
772336713(arcsec(x) or arccsc(x))'±dx/(x²-1)14
772336716∫x⁻¹dxln(x)15
772336717∫e^xdxe^x+C16
772336718∫a^xdxa^x/ln(a)+C17
772336719∫ln(x)dxxln(x)-x+C18
772336720∫sin(x)dx-cos(x)+C19
772336721∫cos(x)dxsin(x)+C20
772336722∫tan(x)dxln|sec(x)|+C21
772336723∫cot(x)dxln|sin(x)|+C22
772336724∫sec(x)dxln|sec(x)+tan(x)|+C23
772336725∫csc(x)dxln|csc(x)-cot(x)|+C24
772336726∫sec²(x)dxtan(x)+C25
772336727∫csc²(x)+C-cot(x)+C26
772336728∫sec(x)tan(x)dxsec(x)+C27
772336729∫csc(x)cot(x)-csc(x)+C28
772376073∫dx/(a²+x²)a⁻¹arctan(x/a)+C29
772376074∫dx/√(a²-x²)arcsin(x/a)+C30
772376075∫dx/√(x²-a²)a⁻¹arcsec(x/a)+C31
772376076a function f(x) is continuous at x=a if1. f(a) exists 2. lim x→a f(x) exists 3. lim x→a f(x) = f(a)32
772376077intermediate value theorema function f(x) that is continuous on a closed interval [a,b] takes on every value between f(a) and f(b)33
772397866average rate of changeif (x₀, y₀) and (x₁, y₁) are points on the graph of y=f(x), then the average rate of change of y with respect to x over the interval [x₀, x₁] is (f(x₁)-f(x₀))/(x₁-x₀)34
772397867definition of the derivativef'(x) = lim h→0 (f(x+h)-f(x))/h f'(a) = lim x→a (f(x)-f(a))/(x−a)35
772397868lim x→+∞ (1+x/n)^ne^x36
772397869lim x→0 (1+n)^(1/n)e37
772421578rolle's theoremif f(x) is continuous on [a,b] and differential on (a,b) and f(a)=f(b), then there is at least one number c in the open interval (a,b) such that f'(c)=038
772421579mean value theoremif f(x) is continuous on [a,b] and differential on (a,b), then there is at least one number c in (a,b) such that f'(c)=(f(b)-f(a))/(b-a)39
772421580extreme value theoremif f is continuous on a closed interval [a,b] , then f(x) has both an absolute maximum and an absolute minimum on (a,b)40
7725133721st fundamental theorem of calculusfrom a to b ∫f(x)dx = F(b)-F(a), where F'(x)=f(x)41
7725525632nd fundamental theorem of calculusif F(x)=from x to 0 ∫f(t)dt, then F'(x)=f(x) if F(x)=from u(x) to 0 ∫f(t)dt, then F'(x)=f(u(x))*u'(x)42
772552564dP/dt (logistics)kP(1-P/L) L is carrying capacity; k is constant of proportionality43
772552565P (logistics)L/(1+A^(-kt)) A=(L-P₀)/P₀44
772589901washer methodfrom a to b π∫(r₁²-r₂²)dx45
772589902disc methodfrom a to b π∫r²dx around x axis from c to d π∫r²dy around y axis46
772589903shell methodfrom a to b 2π∫p(y)h(y)dy around x axis from c to d 2π∫p(x)h(x)dx around y axis47
772589904maclaurin polynomial of e^x1+x+x²/2!+x³/3!+x⁴/4!+...x^n/n!48
772589905maclaurin polynomial of sinxx−x³/3!+x⁵/5!+...(-1)^n*x^(2n+1)/(2n+1)!49
772589906maclaurin polynomial of cosx1-x²/2!+x⁴/4!+...(-1)^n*x^(2n)/(2n)!50
772589907maclaurin polynomial of (1-x)⁻¹1+x+x²+x³+x⁴+...x^n51
772589908maclaurin polynomial of lnx(x-1)−(x-1)²/2+(x-1)³/3−(x-1)⁴/4+...(x-1)^n/n52
772595110nth term testlim x→∞f(x)≠0, the series diverges53
772614773lim n→∞ ln(n)/n054
772614774lim n→∞ x^(1/n)155
772614775lim n→∞ n^(1/n)156
772614776lim n→∞ x^n; |x|<0057
772614777lim n→∞ x^n/n!058
772622316sin2x2sinxcosx59
772622317cos2xcos²x-sin²x=2cos²x-1=1-2sin²x60
772622318tan2x2tanx/(1-tan²x)61
773461205if g(x) is the inverse of f(x), theng'(x)=1/(f'(g(x)))62
773461206average value of f(x) on [a,b]1/(b-a)∫ (from a to b) f(x) dx63
773461207integration by parts formula∫udv=uv - ∫vdu64
773461208LIATEin order: logarithmic function, inverse trig function, algebraic function, trig function, exponential function65
773461209euler's methody₁ = y₀ + h*f'(x₀, y₀) informally: ynew= yold + step size*derivative at the previous point66
773461210arc lengths = ∫ (from a to b) √(1+[f'(x)]²) dx67
773461211arc length in parametric forms = ∫ (from a to b) √[(dx/dt)² + (dy/dt)²] dt68
773482019sin²x(1-cosx)/269
773482020cos²x(1+cosx)/270
773590388newton's law of coolingdy/dt=k(y−y₀)71
773590389work∫ (from a to b) F*d*dx72

AP World History Review Flashcards

A brief overview of the AP World History curriculum

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748312217spread rapidlyalthough agriculture was established indepentently, knowledge of crop cultivation ___________0
748312220metallurgyThe Neolithic Age was the origin of _______ which was used to create jewelry, weapons, and tools using copper.1
748312223MesopotamiaThe civilization which arose in the valley of the Tigris and Euphrates rivers. It's inhabitants used bronze and copper, had invented the wheel, and irrigation canals. This civilization was patriarchal and governed in city-states. The land was farmed by slaves. Lack of protective barriers led to conquest but their culture was spread.2
748312224sumerians cuneiform_________ settled in Mesopotamia and developed _______, created a number system, studied heavenly bodies, built ziggurats, and wrote the first epic (The Epic of Gilgamesh).3
748312225The Code of HammurabiWritten by babylonian king; a code of laws regulating daily life and providing harsh "an eye for an eye" punishments. Distinctions were drawn between social classes and genders which were demonstrated in less severe punishments for elite and men.4
748312226EgyptCivilation along pridictable river. Irrigation projects led to its developement. Defined social structure yet flexible, allowing people to move classes. Patriarchal society, yet women did hold positions of power or worked as scribes. This civilization was late in aquiring bronze tools and weapons. Protected by desert.5
748312227Indus Valley CivilizationAlso known as Harappan Civilization, it was on an unpredictable river which often flooded Streets were layed out in a grid and there was running water and sewage systems. Harappan writing undeciphered. Trade with others.6
748312228ShangIsolated civilization in present day China though some trade occurred. Bronze metallurgy was abundant and strengthened it's war techniques. Walled cities arose as cultural, military, and economic centers. There were social classes with eroding matrilineal society. Was followed by Zhou dynasty through 'mandate of heaven.'7
748312229oracle bonesEarly Chinese writing with a custom of divination. When 'it' cracked, a specialized person would read the cracks to determine the gods' message.8
748312230americasCivilizations of the _________ rose later than others without the wheel or work animals, only the llama of the Andes. Such peoples included the Olmecs and Maya. They were polytheistic and had a stratified society.9
748312231MayaThese peoples were termed the "greeks of the Americas' due to their knowledge such as a pictograph writing system, use of zero, study of astronomy and eclipses, calculation of a year within seconds. City-state society with conflict. Well known for sacrificing prisoners of war or using them as slaves.10
748312232north south axisDiffusion of knowledge in the americas was prohibited largely due to its ___________11
752454565ZhouChinese Dynasty whose rulers operated under the Mandate of Heaven after the Shang Dynasty collapsed. Under them the government was further centralized, territory was expanded adding fertile land, and standardized the spoken language. The second Dynasty12
752454566QinChinese Dynasty which emerged after the Era of Warring States. They were China's third dynasty and extended territory, standardized measurments and language, created a wall, manufactured silk cloth, and constructed roads.13
752454567HanReplaced the Qin Dynasty, making them the fourth. Under this peaceful rule the civil service exam began, silk road trade increased, tradition and patriarchy were reinforched, canals and irrigation were sponsered, classes became more intense, agriculture improved, and paper and water-powered mills were invented. A new level of culture was enjoyed and is still celebrated today.14
752454568aryansThey invaded the Indus valley and gave rise to India. Their society was organized along a class system in a village organization. They also introducted their belief system including veneration of cattle and some other animals.15
752454569vedasAryan history is passed down in oral epics consisting of poems, hymns, prayers, and rituals, called ______ and later written in sanskrit. They are India's earliest sacred texts. They include the Upanishads, a collection of religious epic poems. These writings were compiled16
752454570varnaThe castes of India which were developed by the Aryans. It was mostly in place but a lower level was added to accomodate those the conquered and saw as inferior.17
752454571kshatriyaWarrior and ruling class/caste composed of Aryans18
752454572BrahminClass/caste consisting of Aryan preists19
752454573vaisyaMerchant and farming class/caste composed of Aryans20
752454574sudracommon worker class/caste composed of Dravidians or native people of India.21
752454575untouchablesbottom of Indian social order. People who handle waste products, carry out dead, and butcher animals.22
752454576jatiIndian sub-castes.23
752454577ashokaMauryan rulers unified India. _____, the grandson of Chandrugupta is the most well known. He was initialy brutal but later embraced tolerance and nonviolence through Buddhism, while still respecting Hinduism. He encouraged trade and helped advance transportation which helped to spread Buddhism.24
752454578GuptaHindu rulers who followed Mauryans and ushered in the golden age of Indian History. They reinforced the caste system and Brahmins. Buddhism was tolerated and spread. Local rulers maintained authority as long as they submited to Guptas. They discovered zero and developed arabic numerals, decimal system, advancements in treating illness, astronomy, and religious art.25
752454579satiThe Indian practice of a widow throwing hersolf on her husband's funeral pyre, which bestowed honor and purity upon her. Significant under Gupta rule when women's status deteriorated.26
752454580PersiansCreated a culture which influenced Mediterranean society and was considered an heir of ancient Mesopotamian civilization. introduced Zoroastrianism which had a system of rewards and punishments in the afterlife. Iron metallurgy spread and long distance grade was active via the Persian Royal Road which linked remote portions of the region.27
752454581GreeksCivilization of Indo-European people who destroyed the Myceneans before them. They had a written language based on Phoenician alphabet. They were governed by polis and later colonized in order to provide for themselves, spreading culure along the way. They started the Olympic Games to honor their numerous god(esse)s and put focus on drams. They emphasized the power of human reason.28
752454582geographyA determining factor in greek history. They had little farmland, but easy access to the sea leading to fishing and trading in the Aegean sea. Rugged terain prevented easy centralization making polis necessary.29
752454583polisThe political organization of greece. A city-state, consisting of a city and surrounding countryside both under the influence of one government. The two most well known are Sparta, which was militaristic and dependent on slavery and agriculture, and Athens, which practiced self-rule and acheived in science and the arts and relied on the sea.30
752454584peloponnesianAthens became an empire creating distrust among poleis. This lead to the __________ wars, a fight over dominimance. Athens suffers from a plague and loses to Sparta.31
752454585AristotleHe is a model of Greek thought. Constructed arguments through the use of logic and wrote on a variety of subjects in politics, arts, and sciences. Reflecting most opinions of the time, he also believed women were subordinate.32
752454586Alexander the GreatFollowed his Macedonian father Philip's plans to conquer Greece, as well as Egypt, Syria, Palestine, and Persia. Established cities named in his honor. Married a Persian to blend Perian and Greek cultures and encouraged army to do the same. Land divided among generals after death. His rule is called the Hellenistic Age.33
752454587HellenisticThis age is characterized by a cultural blending between Greece and Persia or the Middle East. Featured achievements in trade, communication, geometry, anatomy, and the circumference of Earth. The philosphy of Stoicism taught that people should use their powers of reason to lead virtous lives and assist others. Culture later adopted by Romans who conquered Greece.34
752454588geocentricThis theory produced by Ptolemy in the Hellenistic Age stated that the earth was at the center of the universe. Though other cultures knew the truth, it was accepted as truth until the scientific revolution.35
752454589RomeThis civilization with military tradition became the master of the Mediterranean sea after defeating Carthage in the Punic wars. Julius Caesar causes this republic to dissolve. His death led to a perod of civil disorder. Eventually there was a time of peace. Slaves were almost 1/3 of the population.36
752454590pax romanaPeriod following the civil disorder as a result of Julius Caesar's assassiation. His grand nephew Octavian/Augustus Caesar led Rome into the successes of public works which connected to the Silk Roads, Latin as the common language, common coinage, stadiums, and the spread of Christianity as well as Jesus' birth.37
752995689RomansThese peoples government was centered around the Senate composed of aristocracy. In a crisis a dictator was appointed who would hold emergency powers for up to 6 months. During the republic, laws were codified in the Twelve Tables. Conquered people were typically allowed self-rule unless they rebelled and many were granted citizenship.38
752995690lawMost lasting Roman contribution, established that a defendant is innocent unless proven guilty, they have the right to confront accusers in court, and the right of judges to set aside unjust laws.39
752995691slaveryThis tradition in Rome and Greece made labor-saving advances uneeded, causing the mediterranean world to fall behind in the technological level.40
752995692animismpracticed by early peoples, it is the belief that gods and goddesses inhabited natural features. Common in Africa and Polynesia.41
752995693hinduismA belief system originating in India. Everything in the world is part of a divine essence called Brahma. A meaningful life is one that has found union with the divine soul, which is achieved through reincarnation. Deeds done in a lifetime are karma, which determines how you will be reincarnated. After a few good lives a soul is united with Brahma. This unification is known as moksha. Followers live by dharma, the moral law, which emphasizes consequnces and obligations to community and family. This religion helps reinforce the caste system and also says that our reality is only an illusion, the real world is a primal unitary energy or divine reality similar to Chinese daoism. Followers are forbidden from eating beef. It does not have a single founder, but developed gradually. Merchants carried it through the Indian Ocean, though it did not seek converts.42
752995694BuddhismA major faith originating in India and founded by Gautama who determined that suffering was the consequence of human desire. He became known as the enlightened one or another name that would give away the religion. He would later seen as a God though he didn't believe so. This religion opposes the caste system as it stresses equality and self-control. Reincarnations lead follower closer to nirvana, a union with the divine essence. Monastaries housed traders who carried the religion, though Brahmin's opposed it. Later bodhistattvas added the belief that nirvana could be reached through meditation.43
752995695ConfucianismA Chinese philosophy which rose out of the Era of Warring States. It's founder believed good governement was the maintenance of tradition, which was maintained by personal standards of virtual including respect for the patriarchal family (filial piety) and veneration of ancestors. Also stressed importance of well-educated officials leading to the requirement of studying China's past. Teachings compiled into the Analects which educated officials. Supported submission to government and became basis for the civil service examination. Superiors treat those beneath them with kindness and inferiors respect those above them. Eventually defined Chinese culture.44
752995696DaoismA Chinese philosophy which rose out of the Era of Warring States. It is an adaptation on traditional concepts of balance in nature also known as yin (male) and yang (female). Human understanding comes from folling "The Way", a life force which exists in nature. Taught that political involvement and education were unnecessary but that the natural balance of the universe would resolve problems. Eventually blended with confucianism: responsibility for the community and time for personal reflection.45
752995697JudaismOrigins in Abraham, his people were slaves to the pharoah and freed by Moses. The Ten Commandments is the moral law of Hebrews. The Covenant is an agreement between God (Yahweh) and Abraham to be devoted to each other. Its history is the basis of the Torah, or scriptures. The Hebrews established Israel with Jerusalem as it's capital. Half fell to the Assyrians and it's people scattered as the first diaspora or exile. The other half is later captured and brought to Babylon. Their land later came under Roman rule and when Jews rebelled they were exiled a second time. This is not a missionary religion, though it gave rise to Christianity.46
752995698ChristianityBranched from Judaism in the belief that Jesus fulfilled the promise of a Messiah or savior. This belief spread along roman roads as missionaries and other followers taught forgiveness of sins and afterlife. Some Roman emporers saw Christianity as a threat and persecuted the church until Constantine permitted it's practice in the Edict of Milan. It later became Rome's official religion leading to a pope, nuns, and munks. Appealed especially to poor and women who were equal in faith.47
752995699HanThis Chinese Dynasty declined due to taxes, interest in Confucian goals, poor harvests, disease, social unrest by students, decline in mortality, weak emporers, strong army generals, unequal land distribution, declining trade, and presure from bordering nomadic tribes. Buddhism and mainly Daoism gain followers and leads to the Yellow Turbans a revolutionary movement promising a new age of prosperity and security. China became susceptible to Hsiung-nu invasions although they were held off for a time with tributes.48
752995700SuiChinese Dynasty which followed the Han. Began when Northern Rulers drove the invading Hsiung-nu out.49
752995701Pax RomanaThis golden age of rome ended with Marcus Aurelius' death due to trade decline, taxation, ineffective emperors, less money, population, poor harvest, moral decay, dependence on slaves, non-roman soldiers, and invasions. In an attempt to save Rome, landowners often had to sell to large estates or latifundia, lessening need for central authority and discouraging trade. Constantine established Constantinople as a second capital which thrived, and allowed Christianity in an attempt to save Rome. Huns pressured Rome's nomadic neighbors who overran their borders and established Germanic kingdomes.50
767630870tradeThis drew a variety peoples into contact with classical civilizations which influenced their culture and technology, such is the case with Egyptians influence in Kush.51
767630871silk roadsThis primarily and trade route connecting classical civilizations with the nomads of Central Asia. Initially between China and Mesopotamia, they were extended in the time of the Romans to the Mediterranean. Religions, technology, and disease were exchanged in addition to goods.52
767630872Indian OceanThis trade route were the sea lanes of the silk road. Mariners from China, Malaysia, SE Asia, and Persia sailed here using monsoon wind charts to trade Chinese pottery, Indian spices, and ivory.53
767630873Trans-SaharanThis trade route crossed an African desert using the camel and new saddle. First salt and palm oil were exchanged but later, in the time of Romans olives, wheat, and wild animals were added.54
767630874MeccaThe city in the center of the Arabian peninsula. It is a commercial center but more importantly the location of a religious shrine. Muslims face this way in prayer and pilgrimage here. It is also the home of Muhammad.55
767630875MuhammadAn orphan from Mecca's merchant class, he experienced revelations from the angel Gabriel56
775455456UpanishadsIn India 800-400, dissatisfaction rose to these sacred texts, also known as the vendanta, which explore the sacrifices suggested in the Vedas. Introspective thinking has a larger focus than customary ritual. The effect of these writings was the reduction of priestly authority in favor of individual responsibility for spiritual evolution.57
775455457MaliPart of an african kingdom in 500-1600, made up of monarchies with court life, administrative, military forces, and profited off the trans-Saharan trade. This state later monopolized the import of strategic goods (horses, salt, and metals). They permitted trade of gold dust and became a center of Islamic instruction.58
775455458Meiji RestorationUS intrusion into an isolated Japan brought about this event. Japan was forced into unequal treaties caused a civil war leading to a political takeover with throne being given to a young boy after whom the event was named. The goal was to avoid foreign dominance through modernization.59
775455459TanzimatOttoman Empire reforms in 1839 which sought economic, social, and legal underpinnings for a new recentralized state. Ultimately, they wanted to modernize and westernize. Non-muslims were also given equal rights.60
775455460AndesSouth American Civilization located in a mountain chain. It's people carved staircase terraces into slopes. Incas are one of these peoples as well as Norte Chico61
775455461Taiping RebellionChinese peasant upheavel in Qing dynasty, rejecting traditional religions, instead supporting Christianity. Hong Ziuguan claimed to be Jesus' younger brother sent to rid the world of deamons and establish a heavenly kingdom. They did not seek reform but revolutionary change with no private property or gender equality. Instead, society would be grouped into industrialized, sexually segregated military camps. Appeared to be winning but the movement was indicisive and divided and crushed by the military of landowners.62
775455462Madhist warColonial war fought by Sudan against Egyptian occupation and later the British. Muhammad Ahmad preached faith and liberation and gained followers who revolted againsted Egyptians by whom they were heavily taxed and unfairly treated. They also gained support of Arab tribes.63

Kriegl AP Calculus Flash Cards Flashcards

AP Calculus AB, calculus terms and theorems

Terms : Hide Images
50943044710
50943044801
509430449Squeeze Theorem2
509430450f is continuous at x=c if...3
509430451Intermediate Value TheoremIf f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k4
509430452Global Definition of a Derivative5
509430453Alternative Definition of a Derivativef '(x) is the limit of the following difference quotient as x approaches c6
509430454nx^(n-1)7
50943045518
509430456cf'(x)9
509430457f'(x)+g'(x)10
509430458The position function OR s(t)11
509430459f'(x)-g'(x)12
509430460uvw'+uv'w+u'vw13
509430461cos(x)14
509430462-sin(x)15
509430463sec²(x)16
509430464-csc²(x)17
509430465sec(x)tan(x)18
509430466dy/dx19
509430467f'(g(x))g'(x)20
509430468Extreme Value TheoremIf f is continuous on [a,b] then f has an absolute maximum and an absolute minimum on [a,b]. The global extrema occur at critical points in the interval or at endpoints of the interval.21
509430469Critical NumberIf f'(c)=0 or does not exist, and c is in the domain of f, then c is a critical number. (Derivative is 0 or undefined)22
509430470Rolle's TheoremLet f be continuous on [a,b] and differentiable on (a,b) and if f(a)=f(b) then there is at least one number c on (a,b) such that f'(c)=0 (If the slope of the secant is 0, the derivative must = 0 somewhere in the interval).23
509430471Mean Value TheoremThe instantaneous rate of change will equal the mean rate of change somewhere in the interval. Or, the tangent line will be parallel to the secant line.24
509430472First Derivative Test for local extrema25
509430473Point of inflection at x=k26
509430474Combo Test for local extremaIf f'(c) = 0 and f"(c)<0, there is a local max on f at x=c. If f'(c) = 0 and f"(c)>0, there is a local min on f at x=c.27
509430475Horizontal Asymptote28
509430476L'Hopital's Rule29
509430477x+c30
509430478sin(x)+C31
509430479-cos(x)+C32
509430480tan(x)+C33
509430481-cot(x)+C34
509430482sec(x)+C35
509430483-csc(x)+C36
509430484Fundamental Theorem of Calculus #1The definite integral of a rate of change is the total change in the original function.37
509430485Fundamental Theorem of Calculus #238
509430486Mean Value Theorem for integrals or the average value of a functions39
509430487ln(x)+C40
509430488-ln(cosx)+C = ln(secx)+Chint: tanu = sinu/cosu41
509430489ln(sinx)+C = -ln(cscx)+C42
509430490ln(secx+tanx)+C = -ln(secx-tanx)+C43
509430491ln(cscx+cotx)+C = -ln(cscx-cotx)+C44
509430492If f and g are inverses of each other, g'(x)45
509430493Exponential growth (use N= )46
509430494Area under a curve47
509430495Formula for Disk MethodAxis of rotation is a boundary of the region.48
509430496Formula for Washer MethodAxis of rotation is not a boundary of the region.49
509430497Inverse Secant Antiderivative50
509430498Inverse Tangent Antiderivative51
509430499Inverse Sine Antiderivative52
509430500Derivative of eⁿ53
509430501ln(a)*aⁿ+C54
509430502Derivative of ln(u)55
509430503Antiderivative of f(x) from [a,b]56
509430504Opposite Antiderivatives57
509430505Antiderivative of xⁿ58
509430506Adding or subtracting antiderivatives59
509430507Constants in integrals60
509430508Identity functionD: (-∞,+∞) R: (-∞,+∞)61
509430509Squaring functionD: (-∞,+∞) R: (o,+∞)62
509430510Cubing functionD: (-∞,+∞) R: (-∞,+∞)63
509430511Reciprocal functionD: (-∞,+∞) x can't be zero R: (-∞,+∞) y can't be zero64
509430512Square root functionD: (0,+∞) R: (0,+∞)65
509430513Exponential functionD: (-∞,+∞) R: (0,+∞)66
509430514Natural log functionD: (0,+∞) R: (-∞,+∞)67
509430515Sine functionD: (-∞,+∞) R: [-1,1]68
509430516Cosine functionD: (-∞,+∞) R: [-1,1]69
509430517Absolute value functionD: (-∞,+∞) R: [0,+∞)70
509430518Greatest integer functionD: (-∞,+∞) R: (-∞,+∞)71
509430519Logistic functionD: (-∞,+∞) R: (0, 1)72
509430520Given f(x): Is f continuous @ C Is f' continuous @ CYes lim+=lim-=f(c) No, f'(c) doesn't exist because of cusp73
509430521Given f'(x): Is f continuous @ c? Is there an inflection point on f @ C?This is a graph of f'(x). Since f'(C) exists, differentiability implies continuouity, so Yes. Yes f' decreases on XC so f''>0 A point of inflection happens on a sign change at f''74

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