Questions and Worked Solutions for AP Calculus AB Multiple Choice 2008 (Part B).

1. 2008 Test Prepa Calculus 3
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AP® Calculus BC 2008 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success. This 2008 AP® Calculus BC Free-Response Questions AP Test Prep is suitable for 10th - 12th Grade. The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. AP® Calculus AB 2008 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success. Multiple choice questions to prepare for the ap calculus ab exam calculus ab exam preparation workbook Nov 21, 2020 Posted By Ann M. Martin Library TEXT ID e10238166 Online PDF Ebook Epub Library.

AP Calculus AB Multiple Choice 2008 Question 76
76. The graph of f', the derivative f, is shown above for -2 ≤ x ≤ 5. On what intervals is fincreasing?

AP Calculus AB Multiple Choice 2008 Question 77
77. The figure above shows the graph of a function f with domain 0 ≤ x ≤ 4. Which of thefollowing statements are true?

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AP Calculus AB Multiple Choice 2008 Question 78
78. The first derivative of the function f is defined by f'(x) = sin(x³ - x) for 0 ≤ x ≤ 2. Onwhat interval(s) is f increasing?

AP Calculus AB Multiple Choice 2008 Question 79

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AP Calculus AB Multiple Choice 2008 Question 80
80. The derivative of the function f is given by f'(x) = x²cos(x²). How many points of inflection does the graph of f have on the open interval (−2, 2 ?)

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AP Calculus AB Multiple Choice 2008 Question 81
81. If G(x) is an antiderivative for f(x) and G(2) = -7, then G(4) =

AP Calculus AB Multiple Choice 2008 Question 82
82. A particle moves along a straight line with velocity given by v(t) = 7 - (1.01)^-t2 at time t ≥ 0. What is the acceleration of the particle at time t = 3?

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AP Calculus AB Multiple Choice 2008 Question 83
83. What is the area enclosed by the curves y = x³ - 8x² + 18x - 5 and y = x + 5?

AP Calculus AB Multiple Choice 2008 Question 84
84. The graph of the derivative of a function f is shown in the figure above. The graph hashorizontal tangent lines at x = −1, x = 1, and x = 3. At which of the following values of xdoes f have a relative maximum?

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AP Calculus AB Multiple Choice 2008 Question 85
85. The table above gives values of a function f and its derivative at selected values of x. If f 'is continuous on the interval [-4, -1], what is the value of ∫f'(x)dx?

AP Calculus AB Multiple Choice 2008 Question 86
86. The table gives selected values of the velocity, v(t), of a particle moving along the x-axis.At time t = 0, the particle is at the origin. Which of the following could be the graph of theposition, x(t), of the particle for 0 ≤ t ≤ 4?

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AP Calculus AB Multiple Choice 2008 Question 87
87. An object traveling in a straight line has position x(t) at time t. If the initial position isx(0) = 2 and the velocity of the object is v(t) = 3√(1 + t²), what is the position of the object at time t = 3?

AP Calculus AB Multiple Choice 2008 Question 88
88. The radius of a sphere is decreasing at a rate of 2 centimeters per second. At the instant whenthe radius of the sphere is 3 centimeters, what is the rate of change, in square centimeters persecond, of the surface area of the sphere? (The surface area S of a sphere with radius r is S = 4πr²)

AP Calculus AB Multiple Choice 2008 Question 89
89. The function f is continuous for -2 ≤ x ≤ 2 and f(-2) = f(2) = 0. If there is no c, where-2 < c < 2, for which f'(c) = 0, which of the following statements must be true?

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AP Calculus AB Multiple Choice 2008 Question 90
90. The function f is continuous on the closed interval [2, 4] and twice differentiable on theopen interval (2, 4). If f'(3) = 2 and f'(3) < 0 on the open interval (2, 4), which of thefollowing could be a table of values for f?

AP Calculus AB Multiple Choice 2008 Question 91
91. What is the average value of y = cos x/(x² + x + 2) on the closed interval [1, 3]?

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AP Calculus AB Multiple Choice 2008 Question 92
92. A city located beside a river has a rectangular boundary as shown in the figure above. Thepopulation density of the city at any point along a strip x miles from the river’s edge isf(x) persons per square mile. Which of the following expressions gives the population ofthe city?

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2008 Test Prepa Calculus 3

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This 2008 AP® Calculus BC Free-Response Questions Form B ap test prep also includes:

• Scoring Guidelines
• Samples Responses Q1
• Samples Responses Q2
• Samples Responses Q3
• Samples Responses Q4
• Samples Responses Q5
• Samples Responses Q6

This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is to integrate correctly if they want to score as many points as possible on the questions.

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Instructional Ideas

• Create a brainstorming session to see how the class would work each question

Classroom Considerations

• Requires a graphing calculator for half of the items
• Assumes individuals are familiar with the AP® Calculus BC content

Pros

• Contains scored sample responses
• Includes an answer key showing required work

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2008 Test Prepa Calculus 2

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