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Mathematics

Botkin and Keller Chapter 3 Reading Guide Key

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1 APES- Chapter #3- Guided Reading Assignment The Big Picture: Systems of Change Name: ____________________________ Period: _______ Due Date: ______________ Summarize the ?Trying to Control Flooding of the Wild Missouri River? Case study People considered the river to be something that was a steady state system and something that could be controlled. This was not the case and it still flooded despite the engineering and money put into the dams and levees. This shows us that it is very hard to try to control nature. Define the following and give examples of each: System: a set of components, or parts, that function together as a whole. Ex. Human body, sewage treatment plant, river

Graphs and Graphing Utilities

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1.1 - Graphs and Graphing Utilities TI-82 There are several kinds of graphs that the TI-82 or TI-83 will do, but they are accessed from the same key. The [y=] key and the [2nd] [y=] or [StatPlot] key. The two major kinds of plots may cause confusion when mixed, so it is best to turn off all unnecessary plots before trying to graph an equation. To turn off all statistical plots, hit [StatPlot] and choose option 4 - PlotsOff. Hit enter to finish the command. To turn off a regular plot, one can either hit [Clear] while on an equation, or arrow to the left so that the cursor is on the equal sign, and press enter to toggle the display of that equation. Graphing Equations with the Calculator

Weather Station Models

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87 87 87 How to convert between station model number and actual barometric pressure: If the first number is less than or equal to 5, place a 10 in front of the number and a decimal between the last two digits If the first number is greater than 5 place a nine in front of the number and a decimal between the last two digits. * * *
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2008 AP mc

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The questions contained in this AP? Calculus BC Practice Exam are written to the content specifications of AP Exams for this subject. Taking this practice exam should provide students with an idea of their general areas of strengths and weaknesses in preparing for the actual AP Exam. Because this AP Calculus BC Practice Exam has never been administered as an operational AP Exam, statistical data are not available for calculating potential raw scores or conversions into AP grades. This AP Calculus BC Practice Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom setting

2008 AP MC

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Section I The Calculus BC Exam AP Calculus BC Exam SECTION I: Multiple-Choice Questions At a Glance Total Time 1 hour, 45 minutes Number of Questions 45 Percent of Total Grade 50% Writing Instrument Pencil required Part A Number of Questions 28 Time 55 minutes Electronic Device None allowed Part B Number of Questions 17 Time 50 minutes Electronic Device Graphing calculator required Instructions Section I of this exam contains 45 multiple-choice questions and 4 survey questions. For Part A, fill in only the ovals for numbers 1 through 28 on page 2 of the answer sheet. For Part B, fill in only the ovals for numbers 76 through 92 on page 3 of the answer sheet. The survey questions are numbers 93 through 96.

2003 AP MC

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? ? ? ? ? ? ? ? ? ? ? ? ? ? M AREA - COMPLETE THIS AREA AT EVERY EXAMINATION. ~The AP"'ADVANCEDTo maintain lhe security 01 lhe exam and the vaftdily 01 my AP grade, I will allow no one other than myseff to see the multiple-ohoice queslicns and wiD seal the appropriate section when asked to do so. t will not discuss these questions .. .. College PLACEMENT PLACE AN AP ? NUMBER LABEL _ Board PROGRAM" Iwith anyone at any time after the completion of the multipl_ section. I em awam 01 and agree 10 the Program'. ~ policies and procecilJteS as outlined in the 2003 Buffetin for AP Stt.tdImts and Parents. OR WRITE YOUR AP NUMBER Answer Sheet for May 2003, Form 3ZBP HERE AT EVERY EXAMINATION. PAGE 1 ,...,. W Plintexamination name:.______________________

exponential logarithmic functions

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Seartec Trading (Pty) Ltd. Official SHARP importer & distributor for Southern Africa Worksheet 3 Memorandum: Functions ? Exponential and Logarithmic Grade 12 Mathematics CAPS 1. A quantity representing the power to which a number (the base) must be raised to produce a given number. Remember 2. - if powers with same bases are multiplied the exponents are added ? - if powers with the same bases are divided the exponents are subtracted ? - anything to the power of zero is 1 ? - when a power is raised to another exponent ? the exponents are multiplied ? ( ) - when a power is under a root-sign, the exponent of the power is divided by the root-value ? ?

Calculus AB #3

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?? ?? ? ? ?? ?? ? ? ?? ?? ? ? ?? ?? ? ? Ws 2 Calculus AB Harter 1. Identify each as odd, even or neither. a. 3 4 4y x x? ? ? b. c. 4 2y x? ? d. 2. Find the equation of a line in the form indicated that a. Passes thru (-2,-5) and (-5,3) (standard form) b. Perpendicular to 2x-3y=4 and passes thru (3,-3) (point slope form) 3. Solve the inequality. Write your answer in interval notation. a. 2 5 6x? ? ? b. 3 2 2x ? ? ? c. 2 3 4 8x? ? ? ? d. 3 22 2 3 3x x x? ? ? e. 2 6 8x x? ? ? 4. Convert each radian measure to degrees. a. 3 2 ? b. 5 6 ? c. 2 9 ? d. 4 3 ? e. 3 10 ? f. 19 180 ? g. 5 18 ? h. 11 6 ? i. 3 5 ? 5. Convert each degree to a radian measure. a. 210

Calculus AB #2

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?3 ?2 ?1 1 2 3 4 16 ?12 ?8 ?4 4 8 12 Ws 1 ? review intercepts, linear equations, inequalities, symmetry, domain/range Calculus AB SHOW WORK IN YOUR NOTEBOOK. Find the x and y intercepts of each. 1. 1 4 2 y x= ? 2. 2 3 6x y? = 3. 3 24 4 15y x x x= + ? 4. 22 11 6y x x= + ? Name the domain and range of each. Write your answers in interval notation. 5. ( ) 1 3 f x x = ? 6. 3y x= + 7. 236y x= ? 8. ( ) 3xg x x += Linear equations 9. Find the equation of the line that passes through the points (2,-3) and (-3,-1) in standard form. 10. Find the equation of the line that passes through the points (-3,-3) and (5,0) in point slope form. 11. Find the equation of the line that passes through the points (2,-5) and (2,-6) in any form.

Calculus AB #1

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?4 ?2 2 4 ?2 2 ?4 ?2 2 4 ?2 2 ?4 ?2 2 4 ?2 2 ?6 ?4 ?2 2 4 6 ?6 ?4 ?2 2 4 6 Ws zero ? review intercepts, linear equations Calculus AB SHOW WORK IN YOUR NOTEBOOK. Name the equation of the line from the graph below. 1. Find the slope. 2. ( ) ( )2,3 , 2, 5? ? 3. 7 3 5 1, , , 8 4 4 4 ? ? ? ??? ? ? ?? ? ? ? 4. ( ) ( )4,3 , 4, 1? ? ? Name three points on the line indicated. 5. 2 3y x= ? 6. 2 3 8x y? = Find the equation of the line that 7. passes thru the points (2,-3) and (-4, -6) in standard form. 8. passes thru the points (-1,3) and (5, 7) in standard form. 9. parallel to 2 3 8x y? = and thru (-2,-2) in point slope form. 10. perpendicular to 3 5 8x y? = and thru (-1,- 4) in standard form.

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