AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

AP World Chapter 14 (Howard Spodek) Flashcards

Terms : Hide Images
2056362887ChinaWhere did most of the silver from the New World end up?0
2056362888CapitalismWhat allowed individuals to exchange their products and labor in free, unregulated markets?1
2056362889MercantilismWhat was the belief that the government should regulate trade-especially by restricting the outflow of gold and silver?2
2056362890Hernan CortesWhich conquistador defeated the Aztecs?3
2056362891Vice Royalty of New World and PeruHow did Spain control the two large areas of the New World?4
2056362892guns, horses, disease, steelWhat were the 4 things that allowed the Spanish to easily defeat the tribes of the New World?5
2056362893Francisco PizarroWhich conquistador defeated the Incans?6
2056362894FearAlthough the Spanish had firearms, they were very ineffective and were mainly used as what?7
2056362895They were demoralized and didn't know what to doWhat happened to the tribes when the kings of the New World tribes were captured?8
2056362896encomiendasIn the Vice Royalties of New World/Peru there were several ______________ that assigned taxes/labor on the native populations. They were very cruel and many natives died.9
2056362897mit'a/repartimientoAfter the encomienda system was called cruel, what were the names of the two new systems?10
2056362898haciendasWhat were the Spanish estates that grew manioc, potatoes, and maize in the New World?11
2056362899Potosi MineWhat was the name of the largest silver mine ever discovered that employed harsh conditions on the workers in Peru?12
2056362900They lacked commercial infrastructure and all of the metals were sold for luxury goodsWhy did the Spanish start to decline after the silver/gold dried up in mines?13
2056362901Charles VWhich leader in Spain caused bankruptcy after inheriting lots of land throughout Europe?14
2056362902Sugar and slavesWhat were the two things that the Portuguese focused on?15
2056362903PortugueseWho tried to take over and pirate the Indian Ocean but failed?16
2056362904Spain and PortugalWhich two nations were quickly surpassed after their newly discovered wealth dried up?17
2056362905mercantilistWas Spain capitalist or mercantilist?18
2056362906mercantilistWas Portugal capitalist or mercantilist?19
2056362907BullionismWhat is another name for Mercantilism?20
2056362908indulgencesWhat were the documents called that removed your sins if you bought them?21
2056362909Martin LutherWho wrote the 95 theses?22
2056362910German translation of the BibleWhat helped Lutheranism spread quicky?23
2056362911John CalvinWho spoke of justification by faith alone, supremacy of individual conscience, and denied authority of the Church?24
2056362912He wanted to divorce his wifeWhy did King Henry VIII break from the Church?25
2056362913AnglicanWhat was the new church in England called?26
2056362914Council of TrentIn the Counter Reformation, what was established to reaffirm the basic doctrines of Christianity?27
2056362915Sent the Spanish ArmadaAfter Queen Elizabeth I aligned herself with the rebels in the Netherlands that followed Protestanism, Phillip II did what?28
2056763154DutchWhich empire dominated trade in Northern Europe?29
2056763155A stock exchangeWhat was the bourse in Amsterdam?30
2056763156the governmentThe Bank of Amsterdam was successful because the safety of the deposits was protected by...31
2056763157Dutch East India CompanyWhat did the Dutch establish that was dedicated to trade in Asia?32
2056763158DutchWhich empire was allowed a small settlement on Deshima Island off of Japan?33
2056763159English Navigation ActIn 1651, what did the English do that restricted Dutch shipping?34
2056763160Henry of NavarreWho issued the Edict of Nantes?35
2056763161Gave Protestants the same civil rights as CatholicsWhat did the Edict of Nantes do?36
2056763162Louis XIVWho made France the most powerful country in Europe?37
2056763163Divine Right AbsolutismHow did Louis XIV gain power?38
2056763164mercantilistWas France capitalist or mercantilist?39
2056763165FranceWhich empire had no local tax and a commercial code that unified business practices?40
2056763166A French protestantWhat is a huguenot?41
2056763167populationAlthough the English had a larger navy, the French had a larger _______________ which could make a larger army.42
2056763168balance of powerThe growth of the French disturbed the _____________ throughout Europe?43
2056763169the right to carry all slave cargoes from Africa to Spanish AmericaThe British won the asiento from Spain which was...?44
2056763170sterling poundThe Bank of England fixed the value of what?45
2056763171insuredIn the Bank of England the government didn't just protect the bank it ____________ it.46
2056763172capitalistThe British were mainly ___________ with some mercantilism.47
2056763173nation-stateWhat is a politically sovereign state with a socially cohesive population?48
2056763174remoteOne of Russia's main downfalls was how ___________ it was from the Europeans.49
2056763175Ivan IIIWhich Russian leader overthrew the Mongols?50
2056763176smallRussia had a _________ (small/big) urban trading class.51
2056763177serfsMost of the population in Russia was made up of...52
2056763178WesternizationPeter the Great in Russia started the process of ______________ and adopted many ideas from the Europeans?53
2056763179St. PetersburgWhat Russian city was the "window on the west?"54
2056763180Through a form of pretending to retreat and then turning around and charging.How did Russia defeat the Swedes and Ottomans?55
2056763181cipher schoolsWhat were the Russian schools called that taught basic reading and arithmatic?56
2056763182taxesPeter the Great introduced heavy __________ on the peasants and gave their land to the aristocrats.57
2056763183Eastern OrthodoxyWhat religion did Russia follow?58
2056763184A Russian social structure that raised people who did good things and lowered those who didn'tWhat was the Table of Ranks?59
2056763185enlightened despotismWhat is it called when a ruler advanced new concepts for the nobility, but held onto the power himself?60
2056763186It was all done by foreign merchantsHow did the Ottomans handle trade?61
2056763187IndiaWhere the Mughal Empire located?62
2056763188GuildsIn the Mughal empire, who regulated trade?63
2056763189navyThe Mughal empire had coastal trade but it wasn't successful because they lacked a...64
2056763190piratesWhen the Ming closed external trade, they started to be harassed by Chinese/Japanese _________.65
2056763191Matteo RicciWho was the Jesuit missionary in China that shared his knowledge of mathematics, cartography, astronomy, and mathematics?66
2056763192familiesIn the late Ming trade started to rise again led by _________.67
2056763193QingWhich dynasty in China established the Canton system?68
2056763194Restricted European traders to the area around Canton and supervised them.What did the Canton system do?69
2056763195Oda NobunagaWhich shogun was happy with the arrival of Christianity?70
2056763196TrueTrue or False? Although Japan outlawed all trade, they were still successful.71
2056763197Francis XavierWhich Jesuit missionary brought Christianity to Japan?72
2056763198mercantilistWas Russia capitalist or mercantilist?73

AP Bio: Chapter 8 Flashcards

Terms : Hide Images
3272419443During photosynthesis, autotrophs produce _______________.Carbohydrates0
3272419444Most plants appear green because chlorophyll does not absorb but _____________ green light.Reflects1
3272419445Plants cannot release the energy produced from _______ using photosynthesis.Glucose2
3272419446Photosynthesis is not responsible for __________________________.Fossil fuels3
3272419447The Calvin Cycle takes place in the ______________ of the chloroplast.Stroma4
3272419448_________________ are always necessary in any ecosystem, whether its terrestrial or aquatic.Autotrophs5
3272419449__________________ is the reduction of the carbon dioxide to carbohydrate.Carbon fixation6
3272419450The wavelengths of light that the halo bacterium photosynthetic pigment absorbs are _______________ and ________________.blue, red7
3272419451In thylakoid membranes, the main role of the atenna pigment molecules is to _____________________________________________________.Harvest protons and transfer light energy to the reaction center chlorophyll.8
3272419452In the light reactions of photosynthesis, light is absorbed and funneled to reaction-center chlorophyll _____ ( a/b ).chlorophyll a9
3272419453Function of PS IIthe electron vacancies are filled by electrons derived from water.10

Basic Cooking Terms Flashcards

Terms : Hide Images
2133096122BakeTo cook by dry heat, usually in a oven0
2133097631BarbecueTo roast meat slowly on a spit rack or rack over heat - basting frequently w/ a seasoned sauce1
2133101288BeatTo make a mixture smooth by lifting it over and over quickly w/ a big beating stroke or to incorporate air through the mixture2
2133106441BlendTo mix 2 or more ingredients together until well combined3
2133108427BoilTo cook in water or liquid in which bubbles rise continually and break the surface4
2133111493BroilTo cook over, under, or in front of hot coals or a gas or electric burner, or other form of direct heat5
2133113843BrownTo bake, dry, or toast a food until the surface is brown6
2133307223BrushTo coat food w/ butter, margarine, or egg - using a small brush7
2133309135CookTo prepare food by applying heat in any form8
2133310293CreamTo beat sugar and fat together until fluffy9
2133312308Cut InTo cut fat into flour w/ 2 knives, or a pastry blender, until is's distributed in small particles throughout the mixture10
2133316229ChopTo cut into small pieces11
2133317828DiceTo cut into very small cubes12
2133319029FlourTo sprinkle or coat w/ a powdered substance, usually w/ crumbs or seasonings13
2133322184Fold InTo mix ingredients by gently turning one part over another w/ a spatula14
2133324591GarnishTo ornament food - usually w/ another colorful food - before serving to add eye appeal15
2133327205GrateTo finely divide food in various sizes of rubbing it on a grater w/ sharp projections16
2133329553KneadTo work dough w/ the "heel" of the hands, using a pressing motion, accompnaied by folding & stretching until smooth & elastic17
2133337081MinceTo cut or chop food as finely as possible18
2133339229PeelTo remove or strip off the skin or rind of some fruits & vegetables19
2133341629RollTo flatten to a desired thickness by using a rolling pin20
2133347266SauteTo cook in a small amount of fat21
2133348483SeasonTo add salt, pepper, or other substance to food to enhance the flavor22
2133350745SimmerTo cook below the boiling point, bubbles form slowly and break the surface23
2133354214SteamTo cook in steam generated by boiling water24
2133356541StirTo mix by using circular motion, going around and around until blended25
2133358853TossTo mix ingredients lightly w/o mashing or crushing them26
2133361490WhipTo beat rapidly to introduce air bubbles into food. Applied to cream, eggs, and gelatin27

The American Pageant Chapter 6 Vocab Flashcards

Chapter 6: The Duel for North America (14 terms)
pages 109-125;
Transcribed by alexwyllie

Terms : Hide Images
1651293869HuguenotsFrench Protestant dissenters, the huguenots were granted limited toleration under the Edict of Nantes. After King Louis XIV outlawed Protestantism in 1685, many huguenots fled elsewhere, including to British North America.0
1651296133Edict of NantesDecree issued by the French crown granting limited toleration to French Protestants. Ended religious wars in France and inaugurated a period of French preeminence in Europe and across the Atlantic. Its repeal in 1685 prompted a fresh migration of Protestant Huguenots to North America.1
1651304675Coureurs de boisTranslated as "runners of the woods," they were French fur-trappers, also known as "voyageurs" (travelers), who established trading posts throughout North America. The fur trade wreaked havoc on the health and folkways of their Native American trading partners.2
1651309237King William's WarWar fought largely between French trappers, British settlers, and their respective Indian allies from 1689-1697. The colonial theater of the larger War of the League of Augsburg in Europe.3
1651311349Queen Anne's WarSecond in a series of conflicts between the European powers for control of North America, fought between the English and French colonists in the North, and the English and Spanish in Florida. Under the peace treaty, the French ceded Acadia (Nova Scotia), Newfoundland, and Hudson Bay to Britain.4
1651315673War of Jenkin's EarSmall-scale clash between Britain and Spain in the Caribbean and in the buffer colony, Georgia. It merged with the much larger War of Austrian Succession in 1742.5
1651320573King George's WarNorth American theater of Europe's War of Austrian Succession that once again pitted British colonists against their French counterparts in the North. The peace settlement did not involve any territorial realignment, leading to conflict between New England settlers and the British government.6
1651328462AcadiansFrench residents of Nova Scotia, many of whom were uprooted by the British in 1755 and scattered as far south as Louisiana, where their descendants became known as "Cajuns."7
1651332747French and Indian WarNine-year war between the British and the French in North America. It resulted in the expulsion of the French from the North American mainland and helped spark the Seven Years' War in Europe.8
1651335396Albany CongressIntercolonial congress summoned by the British government to foster greater colonial unity and assure Iroquois support in the escalating war agains the French.9
1651337292RegularsTrained professional soldiers, as distinct from militia or conscripts. During the French and Indian War, British generals, used to commanding experienced regulars, often showed contempt for ill-trained colonial militiamen.10
1651342364Battle of QuébecHistoric British victory over French forces on the outskirts of Québec. The surrender of Québec marked the beginning of the end of French rule in North America.11
1651344728Pontiac's uprisingBloody campaign waged by Ottowa chief Pontiac to drive the British out of Ohio country. It was brutally crushed by British troops, who resorted to distributing blankets infected with smallpox as a means to put down the rebellion.12
1651347144Proclamation of 1763Decree issued by Parliament in the wake of Pontiac's uprising; prohibiting settlement beyond the Appalachians. Contributed to rising resentment of British rule in American colonies.13

Ap world history Unit 3:Post Classical era Flashcards

Terms : Hide Images
3169348636According to Procopius, two sixth century Christian monks undertook an elaborate smuggling operations to provide Byzantium with knowledge to produce what?silk0
3169382451The only classical society that survived the centuries after 400 C.E. was theByzantine1
3169388599Byzantium's major advantage wasits strategic position on the bosporus2
3169401555Which of the following statements about Constantinople is not true?It was built in an attempt to revitalize the impoverished eastern half of the Roman empire.3
3169421583Which part of the Mediterranean basin was never part of the Byzantine Empire?Arabia; The Western half4
3169431790Up through the eighth century, who was the chief foreign threat to the eastern Roman Empire?The Sasanids5
3169439232What was the most important political feature of the Byzantine state?its tightly centralized power under a powerful emperor6
3169445890The mixture of secular and religious authority that marked Constantine's reign as well as that of the Byzantine emperors.Caesaropapism7
3169449531What do historians use the term caesaropapism to refer to?The system in which the emperor has a mixture of political and religious authority.8
3169462505The adjective byzantine, drawn from the government of Byzantium, stands forUnnecessary complexity and convolution9
3169478760Theodora's career before marrying Justinian was aStriptease artist10
3169483043Hagia Sophia wasthe magnificent church at Constantinople11
3169497768justinian's most important and long-lasting political achievement wasthe codification of Roman law12
3169503389Justinians issuance of the Corpus juris civliswon recognition as the definitive codification of Roman law13
3169511153Italy, Sicily, northwestern Africa, and southern Spain were brought back under imperial control by the military victories ofBelisarius14
3169515054Constantinople withstood sieges in 674-678 and 717-718 byarabic forces15
3169546712One of the causes of Byzantine resurgence was political innovation wherein a general was given military and civil control over an imperial province ortheme16
3169554629Byzantinian Ruler who led a resurgence of power in eleventh century by crushing the Bulgars wasBasil ll17
3169562299the term GREEK FIRE refers toThis was a weapon they used made of sulphur, lime, and petroleum. It could burn on water which was a hazard around wooden ships.18
3175663259Basil II crushed the Bulgars in 1014 at the Battle ofKleidion19
3175665581The wife of Justinian, who proved to be an invaluable adviser, wasTheodora20
3175674609A direct challenge to the Byzantine emperor arose in the year 800 when the pope gave an imperial crown to what Frankish king?Charlemagne21
3175679171In the year 962, Otto of Saxonyclaimed to rule as emperor of the old western half of the Former Roman Empire22
3175681990The theme systemit placed an imperial province under the jurisdiction of an army general who took responsibility for both its military defense and civil administration23
3175689108By the late sixth century, Byzantium became the Mediterranean world's leading producer ofsilk24
3175690780The bezantit was Byzantines standard currency of Meditteranean25
3175695488From the sixth century on, the official language of Constantinople waslatin26
3175700786The main factions during the Justinian's time who contested in the Hippodrome and two occasionally fought in the streets werethe greens and blues27
3175705038What describes education in Byzantium?Basic literacy was widespread in Byzantine society28
3175712449In 325 c.e., in an effort to answer the Arians, Constantine brought together leading church men at the council ofNicea29
3175714654The Alexandrian priest, Arius, leader of the Arians, believed what?Taught that Jesus used to be a mortal and was creation of God rather than a divine being30
3175720464Emperor Leo lll inaugurated the divisive ecclesiastical policy ofIconoclasm31
3175721149Who was the first and most famous of the pillar Saint?St. Simeon Stylite32
3175726200St. Basil of Caesarea played a key role in the rise ofMonasticism33
3175731152What did the pope in Rome and the patriarch in Constantinople do to each other in 1054?They mutually excommunicated and refused to recognize each other's church as properly Christian34
3175735955The fourth crusade, in early 1204Sacked Constantinople and caused extreme harm to the Byzantine empire35
3175744086In a disaster from which the Byzantine empire never really recovered Constantinople was sacked in 1204 by theFourth crusade36
3175746859In 1071 Byzantium lost the battle of Manzikert and control over Anatolia to theSaljuqs37
3175750657The Byzantine empire suffered a devastating loss to the Saljuq Turks in 1071 at the battle ofManzikert38
3175751924Constantinople finally fell in 1453 to theOttoman turks39
3175752946Saints Methodist and cyrilDevised the Cyrillic alphabet40
3175755532What city influenced heavily by Constantinople was most important in the early rise of russiaKiev41
3175757096The rise of orthodox Christianity in Russia was helped by the conversion in 989 ofPrince Vladimir of Kiev42
3175759250By the 16th century Russians had begun to think of Moscow asThe third rome43
3222717508Hajithe islamic pilgrimage to Mecca44
3222718143islam meanssubmission45
3222719000"One who has submitted"Muslim46
3222719536"House of Islam"refers to the land under islamic rule, the phrase dar al- islam47
3222721216Khadijain muhammad's wife, a wealthy widow48
3222722817the quranis the holy book of islam49
3222723843the turning point in the rise of Islam washijra(migration) when muhammad moved to Medina50
3222724679islamic holy lawsharia51
3222726102no religious leader could follow muhammad becauseso political authority rested in the position of the caliph52
3222729587caliph elected after muhammad's deathAbu Bakr53
3222729997the shia believedthe caliphate should follow the line of Ali54
3222730751the main split inside islamsunni and shia55
3222732311the umayyad dynasty came to power after the assassination ofAli56
3222736666umayyad governing policies reflectedthe victorious Arab armies of the umayyad dynasty57
3222738372Jizyathe umayyad forces allowed conquered peoples to maintain their own religions, but insisted that they pay a special head tax on those people who did not convert to islam, the head tax58
3222741815The Abbasid dynasty was founded byAbu al-Abbas59
3222742924The Abbasid dynasty differed from the Umayyad dynasty in thatit was not a conquering dynasty60
3222744547Baghdadthe capital of the Abbasid empire61
3222746133ulamapeople with religious knowledge62
3222749377the high point of the Abbasid dynasty came during the reign ofHarun al-Rashid63
3222750460the Saljuqs sultan wasduring the last 200 years of the Abbasid empire fell to them64
3222751836The Abbasid dynasty finally came to an end whenit was overrun by the mongols65
3222752919The most important new crop that spread throughout the Islamic world werecotton66
3222754236Paper manufacture was transmitted to the Islamic world from _________, during the _______________ period?China, Abbasid67
3222755606caravanseraisinns offering lodging for caravan merchants and care for their animals68
3222756994sakks allowed merchants toislamic banks honored letters of credit, which could be drawn on the parent bank69
3222758901Al-Andalusits capital city is Cordoba70
3222760525the quran allows men to have up to how many wives?four71
3222763717how did the conquest of Mesopotamia and Persia influence the role of the women in the Islamic world?Islamic society became more patriarchal72
3222768168the text of the quran has to be in _______ to be reliablearabic73
3222768578institutions of higher learningmadrasas74
3222770660the sufis believedin an emotional and mystical union with allah75
3222773295the persian theologian who argued that human reason was too frail to understand the nature of allah wasthe Persian al-Ghazali76
3222777020what factors helped bring unity to islamic world?Ka'ba at Mecca, Abbasid caliphs encouraged hajj, and pilgrims who made the trip to Mecca spread islamic values and beliefs all over parts of the Islamic world77
3222780730Literary works of the abbasid dynasty reflect the influence ofPersia78
3222781002Rubaiyatthe author was Omar Khayyam79
3222781946the Arabian Nights is also known asthe thousand and one nights80
3222782280Indian influence on islamic thought was most prevalent in the field ofmath81
3222784726arabic numbers originated inindia82
3222785087Ibn Rushdthe islamic thinker who studied aristotle and whose thought, in turn, influenced the rise of European scholasticism83
3222787596the main influence on the thought of ibn rushd wasAristotle84
3222790150ibn rushd's reliance on natural reason went too far for many muslims, whowho placed more value on the revelations of the Quran than on the fruits of human logic85
3230668127Xuanzang was famous forTraveling beyond the China border to India and back86
3230677161Yang jianThe Sui dynasty was founded by87
3230682756The grand canal was completed under the second Sui emperorSui yangdi88
3230689192The principal conduit of internal trade in postclassical China that continues to function todayThe grand canal89
3230695255The grand canal stretched from what city in the south to what city in the northYangzhou to Beijing90
3230701748The Tang Dynasty's energetic second rulerTang taizong91
3230704198The equal field systemThe tang plan to avoid the concentration of land in the hands of the wealthy92
3230713281The imperial civil service system of the Tang Dynasty reflectedThe heavy reliance on a bureaucracy based on merit most office holders won their posts because of intellectual ability93
3230822247The Tang DynastyConfucianism, administration equal field system expansion into Korea/Vietnam tributary relationships between China and neighboring lands94
3230827462Go to the blue sea look along the shore at all the old white bones forsakenThe post Du Fu95
3230836867A ritual prostration in which subordinates knelt before the empire and touched their foreheads to the groundThe kowtow96
3230846467Tang emperors were forced to invite the Turkish uighurs to bring an army into China and suppress a rebellion byAn lushan97
3230849844Huang chaoMost of eastern China fell to this man, who rebelled because of popular discontent and who raided the wealthy and distributed his plunder to the poor98
3230862382The first song emperorSong taziu99
3230866801The Song Dynasty was substantially weakened byRaise taxes, and the military was lead by scholar bureaucrats who generally had little military intelligence it talents100
3230876619The Song Dynasty ultimately fell to theMongols101
3230891319Fast ripening riceIn Vietnam allowed more food to be produced102
3230896255Foot binding is an example ofA patriarchal society103
3230901186Chinese naval technological innovations includedSouth pointing needle aka compass104
3230904935Flying cashLetters of credit came into common use during the early tang period105
3230909031In 1024The first paper money printed under government auspices appeared in Sichuan province106
3230916665A sizable Buddhist community emerged inDunhuang in western China107
3230926685In which of the following areas did Buddhism not become the major religionIndia108
3230933923Buddhist missionaries translated the Indian term dharma as DaoIn an effort to win support in China by tying into Chinese traditions Buddhist missionaries translated the Indian term109
3230943074Chan buddhismMost popular school of Buddhism in China110
3230948572Japanese Zen Buddhism is based onChan Buddhism little interest emphasized intuition and sudden flashes of insight in their search for spiritual enlightenment111
3230972497The closure of monasteries and expulsion of Buddhism, Zoroastrianism, Nestorian Christians and Manichaeans occurred in the 840s under theTang emperors112
3230975482Zhu xiThe most influential neo-Confucian thinker113
3230978999The neo Confucian scholar zhu xiMaintained a deep commitment to Confucian values emphasizing proper behavior/social harmony became fascinated with he philosophical speculative features of Buddhist thought114
3230994077The Silla dynasty neverAdopted the bureaucracy of merit115
3231000008In the seventh century ce the Silla dynasty agreed to a political compromise with the Chinese DynastySilla116
3231004539The relationship between Chinese and viet people was characterized byResisted but then readily adopted Chinese agricultural Methods and irrigation systems and school administration techniques117
3231007199As compared to Chinese woman Vietnamese womanPlayed a much more prominent role in Vietnamese society and economy118
3231009112The indigenous religion of Japan isShinto119
3231011419Chinese influence on Japan was most profound duringNara period120
3231012825The Japanese city of Nara was aChang'an121
3231015376The tale of genii was written byMurasaki shikibu, a lady in waiting at the heian court122
3231017063Murasaki shikibu wasResponsible for the creation of the tale of genji123
3231021819In 1185 the minamoto clan defeated their rival the taira clan and installed aDidn't seek to abolish imperial authority but claimed to rule the land in the name of the emperor124
3231027318In place of the Japanese emperor, a military governor with the title of RuledShogun125
3236997636The shipmaster Buzurg ibn shahriyarshipmaster from Siraf who wrote the "Book of the wonders of India."126
3237015863postclassical india's political structure neverdeveloped a single centralized imperial rule127
3237022197in 451 ce an invasion by the white hun began the collapse of theGupta state128
3237026782India was not completely reunited after the collapse of the gupta dynasty until16th century, when a turkish people known as the mughals extended their authority and their empire to most of the subcontinent129
3237036292When comparing northern and southern India during the postclassical era, it can be stated thatsouthern conflicts were less frequent, less intense, and less damaging than those that plagued the north130
3237041286The scholarly Buddhist emperorreunited northern india in 7th century was King Harsha131
3237044265King Harsha was known forhis piety, liberality, and scholarship132
3237044399In 711, Arab forcesthe northern area of Sind fell to the Umayyad dynasty133
3237047762Cambay wasthe most important trading port in india fro 500-1500134
3237123897islam reached india byMuslim merchants, military, migration/invasions135
3237125488mahmud of ghazni wasthe islamic ruler, who led 17 different raiding expeditions into India in the 11th century136
3237131742mahmud of ghazni's main inspiration for visiting india wasplundering in wealth stored in its many well endowed temples137
3237135640as a result of the campaigns of mahmud of ghaznithe demolishing of hundreds of sites associated with Hindu or Buddhist faith, and did not encourage indians to turn to Islam138
3237149630From the twelfth through the early sixteenth century, northern india was dominated bySultanate of Delhi139
3237152563The Delhi sultans werethere were 35 who prominently sponsored islam and helped establish a secure place for their faith in the cultural landscape of india140
3237196069From 850 through 1267, this wealthy trading state controlled southern indiathe chola kingdom141
3237198641southern india's kingdoms were mainlyregional142
3237204484in 1336, harihara and bukka founded the southern kingdom ofvijayanagar143
3237210192vijayanagar meanscity of victory144
3237212630the changing monsoon winds ensured thatindians required irrigation during the dry month145
3237217151by 1500, the population of india had reached105 million146
3237218958hindu templesserved as economic and social centers and also provided basic schooling for boys in community147
3237347092india was a natural site for the establishment of emporia becauseit stood in the middle of the indian ocean basin148
3237350716adulis wasaxum149
3237355968during the postclassical age the caste system became more complex andadapted to the arrival of migrants and helped integrate them into indian society, also influenced the lives of most people by helping to order their work/relationships with other workers150
3237361096shankara was a 9th century thinker, who believed thatthe physical world was an illusion and that ultimate reality lay beyond the physical senses151
3237371380the words "one should engage himself in singing of me, praising me" are drawn from what 9th century indian documentbhagavata purana152
3237377699ramanuja the 12th century devotee of vishnu believed thatpersonal devotion and personal union with the deity was more important than an intellectual understanding of ultimate reality153
3237384107by 1500, 25 million indians were muslims, which amounts to about what portion of the population1/4154
3237385755the bhakti movementa cult of love and devotion that ultimately sought to erase the distinction between hinduism and islam155
3237632995Guru Kabir believedthat there was a single, universal deity that all devout believers could find in their hearts156
3237635566Which of the following was a bhakti teacher who believed that Shiva, Vishnu, and Allah were all manifestations of a single, universal deity?Guru Kabir157
3237643288The philosophy of the bhakti teacher, Guru Kabir, was similar to that ofmani158
3237646195The bhakti belief that all gods were manifestations of a single, universal deity is most similarmanichaeism159
3237649221What Indian concepts became popular in the southeast Asian states influenced by India?ruling elites became acquainted with indian political/cultural traditions borrowed forms of political organization and accepted indian religious faiths, adopted kingship as principal form of political authority160
3237652671Funan, the first Southeast Asian state to reflect Indian influence, was centered on its capital port city ofoc ec.161
3237655035The lower reaches of which Southeast Asian river was dominated Funan?mekong162
3237659129The kingdom of Srivijaya was basedkings built a powerful navy and controlled commerce in se asian waters taxed ships passing through the region maintained an all sea trade route between china and india163
3237661301The design of the Khmer temples at Angkor Thom and Angkor Wat showthe influence of the indian traditions in southeast asia164
3237666235The temples of Angkor Thom and Angkor Wat were built byFunan and angkor165
3237671510Funan and Angkor wereland based states that derived most of their wealth from productive agricultural economy166
3237674269Srivijaya and Angkor made deep commitmentsto buddhism167
3237677284Paramesvara wasfounding the melaka state168
3237681245Melaka differed significantly from earlier states inbecame predominantly islamic169
3237771949At the battle of Tours in 732 CEcharles martel defeated an islamic force170
3237774662In 802, Charlemagne receivedan albino elephant171
3237776820The developments of the early medieval era that served as foundations for the development of the powerful European society that emerged after 1000 CE included all of the following EXCEPT?was:restoring political order, a process of economic recovery, and building an institutional framework that enabled the christian church based in rome to provide religious leadership maintain cultural unity172
3237778988The last of the Roman emperors was deposed in 476 CE by the invasion ofthe germans and their general odoacer173
3237781944Which of the following pairings between Germanic tribes and the area they invaded is correct?visigoths-spain, ostrogoths-italy, burgundians/franks-gaul, angles/saxon-britain174
3237784639Spain was conquered byvisigoths175
3237788091What group seemed likely to play a prominent role in European affairs after the collapse of western Roman authority?germanic invaders176
3237790377Ostrogoths dominateditaly177
3237794310The Germanic tribe that played the most important role in establishing the foundations of European developmentfranks178
3237797985Clovis' conversion to Christianity ledto a century long relationship with popes in rome179
3237802537Which of the following statements is not true about Clovisis true: led franks on a campaign that wiped out the last vestiges of roman authority in gaul, imposed his authority on the franks himself, organized campaigns against other germanic people whose states bordered their realm180
3237805385The influence of Clotilda, the wife of Clovis, is made apparent by his decision toconvert to christianity181
3237808320After the death of Clovisthe frankish kings lost much of their authority, and aristocratic warriors seized effective control of affairs in their region182
3237815565The Carolingian dynasty is named forcharles martel183
3237818558Charlemagne's temporarily restored centralized imperial rule, much likeking harsha in india184
3237821936Who made the following statement? "For I have invoked my own gods, but, as I see, they have withdrawn from aiding me..."clovis185
3237824315Charlemagne maintained diplomatic relations withthe byzantine empire and the abbasid caliphate186
3237826614Acahen was the location ofcapital of his empire187
3237830781Charlemagne's administrationtemporarily reestablished centralized imperial rule188
3237836322Charlemagne was able to impose his rule on the Saxons of northern Germany after a campaign that lasted32 years189
3237837887Missi dominici,envoys of the lord ruler190
3237844671Imperial officials responsible for reviewing the accounts of local authoritiesmissi dominici191
3237848647When presented with the imperial crown, it is possible Charlemagnebecame emperor192
3237853178Pope Leo IIIon christmas day 800 gave charlemagne the imperial crown193
3237855024Louis the Piouskept the carolingian empire together, but lost control of the counts and other local authorities194
3237857861The Carolingian Empire dissolved after the deathof Louis the Pouis195
3237860543Which three groups invaded Europe in the ninth century?muslims, magyars, vikings196
3237863711During the ninth and tenth centuries, Constantinople was raided at least three times by thevikings197
3237866688The westernmost point of Viking expansiongreenland and north america198
3237868659About the year 1000 CE,established a colony in newfoundland vikings199
3237872630In the ninth century, King Alfredunified england200
3237875845The foundation of the Holy Roman Empire was markedwhen otto received a crown from the pope201
3237878271At the battle of Lechfeld in 955saxony defeated the magyars202
3237880536Feudalism once referred tothe political and social order of medieval europe203
3237881806Responsibility for maintaining order in medieval society fell tolords204
3237886416The most important relationship in feudalism was betweenlords and retainers205
3237889518Serfs weregrants lands to retainers206
3237892480Retainers owed loyalty, obedience, and military service to his lord in exchange forgrants207
3237896273The medieval political systemwas a decentralized society208
3237899616Agricultural production in Europe increased, in large part, dueto increase in food supply209
3237902993The population of Europe rose to thirty six million by the year1000210
3237904967Pope Gregory Iprovided the roman church with a sense of direction by reasserting papal primacy211
3237906585The Rule came fromst. benedict212
3237909180The nun St. Scholasticathe benedictine rule was spread to women living in convents213

Critical Dates For World History AP Test- All Flashcards

Now you can study them all at once for the test!!!

Terms : Hide Images
7674847928000 B.C.E.Beginnings of agriculture0
7674847933000 B.C.E.Beginnings of Bronze Age- early civilizations1
7674847941300 B.C.E.Iron Age2
7674847956th Century B.C.E.Life of Buddha, Confucius, Lao Tsu (beginnings of Confucianism, Buddhism, Taoism)3
7674847965th Century B.C.E.Greek Golden Age- philosophers4
767484797323 B.C.E.Alexander the Great5
767484798221 B.C.E.Qin unified China6
76748479932 C.E.Beginnings of Christianity7
767484800180 C.E.End of Pax Romana8
767484801220 C.E.end of Han Dynasty9
767484802333Roman Capital moved to Constantinople10
7674848034th CenturyBeginning of Trans-Saharan Trade Routes11
767484804476Fall of Rome12
767484805527Justinian rule of Byzantine Empire13
767484806622Founding of Islam14
767484807732Battle of Tours (end of Muslim move into France)15
7674848081054Great Schism in Christian Church (Roman Catholic & Eastern Orthodox)16
7674848091066Norman conquest of England17
7674848101071Battle of Manzikert (Seljuk Turks defeat Byzantine Empire)18
76748481110951st Crusade19
7674848121258Mongols sack Baghdad20
7674848131271-1295Marco Polo travels21
7674848141324Mansa Musa's pilgrimage22
7674848151325-1349travels of Ibn Battuta23
7674848161347-1348Bubonic plague in Europe24
7674848171433end of Zheng He's voyages/Rise of Ottomans25
7674848181453Ottomans capture Constantinople26
7674848191488Dias rounded Cape of Good Hope27
7674848201492Columbus sailed the ocean blue/Reconquista of Spain28
76748482115021st Slaves to Americas29
7674848221517Martin Luther/95 theses30
7674848231521Cortez conquered the Aztecs31
7674848241533Pizarro toppled the Inca32
7674848251571Battle of Lepanto, (naval defeat of Ottomans)33
7674848261588defeat of the Spanish Armada by the British34
7674848271600Battle of Sekigahara- beginning of Tokugawa35
7674848281607foundation of Jamestown36
7674848291618-164830 years war37
7674848301683unsuccessful Ottoman siege of Vienna38
7674848311689Glorious Revolution/English Bill of Rights39
7674848321750-1900Industrial Revolution40
7674848331756-17637 years war/French and Indian War41
7674848341776American Revolution/Smith writes Wealth of Nations42
7674848351789French Revolution43
7674848361804Haitian independence44
7674848371815Congress of Vienna45
7674848381820'sIndependence in Latin America46
76748483918391st opium war in China47
7674848401848European revolutions/Marx & Engles write Communist Manifesto48
7674848411853Commodore Perry opens Japan49
7674848421857Sepoy Mutiny50
7674848431861end of Russian serfdom/Italian unification51
7674848441863Emancipation Proclamation in US52
7674848451871German unification53
7674848461885Berlin Conference-division of africa54
7674848471898Spanish-American War - US acquires Philippines, Cuba, Guam & Puerto Rico55
7674848481899Boer War- British in control of South Africa56
7674848491905Russo-Japanese war57
7674848501910-1920Mexican Revolution58
7674848511911Chinese Revolution59
7674848521914-1918WWI60
7674848531917Russian Revolution61
7674848541919Treaty of Versailles- end of WWI62
7674848551929Stock market crash63
7674848561931Japanese invasion of Manchuria64
7674848571935Italian invasion of Ethiopia65
7674848581939German blitzkrieg in Poland66
7674848591941Pearl Harbor, entry of US into WWII67
7674848601945end of WWII68
7674848611947Independence & partition of India69
7674848621948birth of Israel70
7674848631949Chinese Communist Revolution71
7674848641950-1953Korean War72
7674848651954Vietnamese defeat French at Dien Bien Phu73
7674848661956de-Stalinization/nationalization of Suez Canal74
7674848671959Cuban Revolution75
7674848681962Cuban missile crisis76
76748486919676-day war/Chinese Cultural Revolution77
7674848701973Yom Kippur war78
7674848711979Iranian Revolution79
76748487219871st Palestinian Intifada80
7674848731989Tiananmen Square/fall of Berlin Wall81
7674848741991fall of USSR/1st Gulf war82
7674848751994genocide in Rwanda/1st all race elections in S. Africa83
76748487620019/11 Attacks84

The "Roaring Twenties" w/ Pictures Flashcards

Terms : Hide Images
1971276471Roaring TwentiesPopular image of the decade as a period of prosperity, optimism, and changing morals0
1971276472Return to NormalcyAfter World War I 1919-20s, when Harding was President, the US and Britain returned to isolatoinism. The US economy "boomed" but Europe continued to struggle. It was the calm before the bigger storm hit: World War II1
1971276473Red ScareA period of general fear of communists2
1971276474CommunismA theory or system of social organization based on the holding of all property in common, actual ownership being ascribed to the community as a whole or to the state.3
1971276475Teapot Dome ScandalA government scandal involving a former United States Navy oil reserve in Wyoming that was secretly leased to a private oil company in 19214
1971276476Warren Harding29th president of the US; Republican; "Return to Normalcy" (life as it had been before WWI-peace, isolation); presidency was marred by scandal5
1971276477Calvin Coolidgebecame president when Harding died of pneumonia. He was known for practicing a rigid economy in money and words, and acquired the name "Silent Cal" for being so soft-spoken. He was a true republican and industrialist. Believed in the government supporting big business.6
1971276478Herbert HooverEngineer who organized food production in WWI; Secretary of Commerce. As President, predicted an end to poverty. Believed in 'rugged individualism.' Felt government interference should be minimal in the economy.7
1971276479Rugged IndividualismHerbert Hoover's belief that people must be self-reliant and not depend upon the federal government for assistance.8
1971324465Henry Ford1863-1947. American businessman, founder of Ford Motor Company, father of modern assembly lines, and inventor credited with 161 patents., he made assembly line production more efficient in his Rouge River plant near Detroit- a finished car would come out every 10 seconds. He helped to make car inexpensive so more Americans could buy them.9
1971324466Prohibitionthe period from 1920 to 1933 when the sale of alcoholic beverages was prohibited in the United States by a constitutional amendment10
1971324467Frances WillardBecame leader of the Women's Christian Temperance Union. She worked to educate people about the evils of alcohol. She urged laws banning the sale of liquor. Also worked to outlaw saloons as step towards strengthening democracy.11
1971324468Eighteenth Amendment"Prohibition Law" declared it illegal to make, transport, or sell alcohol in the United States.12
1971324469Twenty-first AmendmentEnds prohibition by repealing the 18th amendment13
1971324470Scopes "Monkey Trial"a high school biology teacher was accused of teaching Darwinism in class instead of the biblical account of creation; the trial that pitted the teaching of Darwin's theory of evolution against teaching Bible creationism14
1971324471Clarence DarrowRepresented Scopes at the "Monkey Trial" on evolution in 192515
1971324472Immigration Acts1921, 1924 & 1929. Basically designed to keep out immigrants from Southern and Eastern Europe16
1971324473EugenicsA pseudo-scientific belief that the human race could be improved by breeding. It was supposed that superior parents would have even better children.17
1971324474FlapperA 1920s term used to describe a new type of young woman; rebellious, energetic, and bold18
1971324475Tin Pan AlleyIs the name given to the collection of New York City-centered music publishers and songwriters who dominated the popular music of the United States in the late 1800's and early 1900's.19
1971324476Great MigrationMovement of African Americans from the South to the North for jobs.20
1971324477Harlem RenaissanceA period in the 1920s when African-American achievements in art and music and literature flourished21
1971324478Langston HughesAfrican-American poet and writer during Harlem Renaissance22
1971324479Marcus Garveybelieved in black-owned businesses; led Back-to-Africa Movement23
1971324480Charles LindberghFirst person to fly sold across the Atlantic Ocean; became an international hero24

Pre-Revolutionary War Definitions Flashcards

Terms : Hide Images
3078719583alliancefriends in wartime0
3078724733boycottto refuse to buy1
3078727971Committees of Correspondencegroup led by Sam Adams to spread information among the colonies2
3078729648Continental Congressgoverning body of the Colonies3
3078731061effigyrag figure representing someone, usually a tax collector or someone despised4
3078734883enlistto join the army5
3078737791grievancescomplaints against someone or a government6
3078739450guerilla warfarehit and run tactics used during war7
3078741201Loyalistsindividuals staying with the King, remaining loyal8
3078745005mercenarya hired gun, usually for war9
3078746254militiacolonies' volunteer army10
3078747735minutemencolonial citizens ready to fight in a moment's notice11
3078749817monopolyhaving full control of a trade12
3078751399Neutralistsindividuals not taking sides in an argument13
3078753506ParliamentEngland's governing body14
3078755025Patriotthose wanting to break away from England's rule15
3078756700petitiona written request16
3078758893Pontiac's Rebellionuprising led by Chief Pontiac of the Ottawa nation against the Englishmen wanting to settle in the Ohio River Valley region17
3078761834privateerprivately owned boats that were armed with guns/weapons to be used during war18
3078764319Proclamation of 1763set by King George III to protect the Colonists in the ORV. Couldn't move west of the Appalachian Mountains and sent 10,000 British soldiers there to protect the colonists19
3078769819quarterto house soldiers20
3078770760ratifyto approve a rule/document/treaty21
3078771842repealto take away a law, etc22
3078771843smallpoxa deadly disease23
3078773437tarriff"Duty", another name for tax24
3078776904traitorsomeone who betrays his country, guilty of treason25
3078778751treasonto give away government secrets to the enemy26
3078780177treatyan agreement, usually signed after war27
3078781994tyrannyharsh rule by a leader28
3078783427Independencethe IDEA of having freedom to make choices, govern, etc29
3078784894inflationthe cost of items goes high while the value of the dollar drops30
3078786793perspectivea viewpoint31
3078788129propagandaa bias or slanted view about an action, event, etc32
3078790424Treaty of Paris 1763British got lands E of Mississippi River; Spanish got lands W of the Mississippi River, French got island33
3078826324Albany CongressAlbany Plan of Union designed by Ben Franklin in order to get the colonies to work together to fight the French34
3078918863blockadeto surround an area so no supplies get in or out35

Pre-Revolutionary War Definitions Flashcards

Terms : Hide Images
3078719583alliancefriends in wartime0
3078724733boycottto refuse to buy1
3078727971Committees of Correspondencegroup led by Sam Adams to spread information among the colonies2
3078729648Continental Congressgoverning body of the Colonies3
3078731061effigyrag figure representing someone, usually a tax collector or someone despised4
3078734883enlistto join the army5
3078737791grievancescomplaints against someone or a government6
3078739450guerilla warfarehit and run tactics used during war7
3078741201Loyalistsindividuals staying with the King, remaining loyal8
3078745005mercenarya hired gun, usually for war9
3078746254militiacolonies' volunteer army10
3078747735minutemencolonial citizens ready to fight in a moment's notice11
3078749817monopolyhaving full control of a trade12
3078751399Neutralistsindividuals not taking sides in an argument13
3078753506ParliamentEngland's governing body14
3078755025Patriotthose wanting to break away from England's rule15
3078756700petitiona written request16
3078758893Pontiac's Rebellionuprising led by Chief Pontiac of the Ottawa nation against the Englishmen wanting to settle in the Ohio River Valley region17
3078761834privateerprivately owned boats that were armed with guns/weapons to be used during war18
3078764319Proclamation of 1763set by King George III to protect the Colonists in the ORV. Couldn't move west of the Appalachian Mountains and sent 10,000 British soldiers there to protect the colonists19
3078769819quarterto house soldiers20
3078770760ratifyto approve a rule/document/treaty21
3078771842repealto take away a law, etc22
3078771843smallpoxa deadly disease23
3078773437tarriff"Duty", another name for tax24
3078776904traitorsomeone who betrays his country, guilty of treason25
3078778751treasonto give away government secrets to the enemy26
3078780177treatyan agreement, usually signed after war27
3078781994tyrannyharsh rule by a leader28
3078783427Independencethe IDEA of having freedom to make choices, govern, etc29
3078784894inflationthe cost of items goes high while the value of the dollar drops30
3078786793perspectivea viewpoint31
3078788129propagandaa bias or slanted view about an action, event, etc32
3078790424Treaty of Paris 1763British got lands E of Mississippi River; Spanish got lands W of the Mississippi River, French got island33
3078826324Albany CongressAlbany Plan of Union designed by Ben Franklin in order to get the colonies to work together to fight the French34
3078918863blockadeto surround an area so no supplies get in or out35

AP Calculus Flash Cards Flashcards

AP Calculus AB, calculus terms and theorems

Terms : Hide Images
15612457310
15612457401
156136819Squeeze Theorem2
156136820f is continuous at x=c if...3
156136821Intermediate 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
156136822Global Definition of a Derivative5
156136823Alternative Definition of a Derivativef '(x) is the limit of the following difference quotient as x approaches c6
156136824nx^(n-1)7
15613682518
156136826cf'(x)9
156136827f'(x)+g'(x)10
156136828The position function OR s(t)11
156136829f'(x)-g'(x)12
156136830uvw'+uv'w+u'vw13
156136831cos(x)14
156136832-sin(x)15
156136833sec²(x)16
156136834-csc²(x)17
156136835sec(x)tan(x)18
156136836dy/dx19
156136837f'(g(x))g'(x)20
156136838Extreme 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
156136839Critical 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
156136840Rolle'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
156136841Mean 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
156136842First Derivative Test for local extrema25
156136843Point of inflection at x=k26
156136844Combo 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
156136845Horizontal Asymptote28
156136846L'Hopital's Rule29
156136848x+c30
156136849sin(x)+C31
156136850-cos(x)+C32
156136851tan(x)+C33
156136852-cot(x)+C34
156136853sec(x)+C35
156136854-csc(x)+C36
156592577Fundamental Theorem of Calculus #1The definite integral of a rate of change is the total change in the original function.37
156592578Fundamental Theorem of Calculus #238
156592579Mean Value Theorem for integrals or the average value of a functions39
156592580ln(x)+C40
156592581-ln(cosx)+C = ln(secx)+Chint: tanu = sinu/cosu41
156592582ln(sinx)+C = -ln(cscx)+C42
156592583ln(secx+tanx)+C = -ln(secx-tanx)+C43
156592584ln(cscx+cotx)+C = -ln(cscx-cotx)+C44
156592585If f and g are inverses of each other, g'(x)45
156592586Exponential growth (use N= )46
156592587Area under a curve47
156592588Formula for Disk MethodAxis of rotation is a boundary of the region.48
156592589Formula for Washer MethodAxis of rotation is not a boundary of the region.49
156592591Inverse Secant Antiderivative50
156592592Inverse Tangent Antiderivative51
156592593Inverse Sine Antiderivative52
156592594Derivative of eⁿ53
156592595ln(a)*aⁿ+C54
156592596Derivative of ln(u)55
156592597Antiderivative of f(x) from [a,b]56
156592598Opposite Antiderivatives57
156592599Antiderivative of xⁿ58
156592600Adding or subtracting antiderivatives59
156592601Constants in integrals60
157021436Identity functionD: (-∞,+∞) R: (-∞,+∞)61
157021437Squaring functionD: (-∞,+∞) R: (o,+∞)62
157021438Cubing functionD: (-∞,+∞) R: (-∞,+∞)63
157021439Reciprocal functionD: (-∞,+∞) x can't be zero R: (-∞,+∞) y can't be zero64
157021440Square root functionD: (0,+∞) R: (0,+∞)65
157021441Exponential functionD: (-∞,+∞) R: (0,+∞)66
157021442Natural log functionD: (0,+∞) R: (-∞,+∞)67
157021443Sine functionD: (-∞,+∞) R: [-1,1]68
157021444Cosine functionD: (-∞,+∞) R: [-1,1]69
157021445Absolute value functionD: (-∞,+∞) R: [0,+∞)70
157021446Greatest integer functionD: (-∞,+∞) R: (-∞,+∞)71
157021447Logistic functionD: (-∞,+∞) R: (0, 1)72
157021448Given f(x): Is f continuous @ C Is f' continuous @ CYes lim+=lim-=f(c) No, f'(c) doesn't exist because of cusp73
157021449Given 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

Pages

Subscribe to CourseNotes RSS

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!