In this video, I go through no calculator multiple choice questions from the 2008 AP Calculus exam. The theme in this video is to show the most efficient sol.
Questions and Worked Solutions for AP Calculus AB Multiple Choice 2008 (Part B).
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?
This set of 10 booklets supplements the AP 2008 - Calculus AB Released Exam. Each booklet contains both the multiple-choice and free-response questions from the 2008 exam and comes with a blank answer sheet. Teachers often use these materials in their classroom to simulate an AP® exam administration. This product does not include an answer key. We're doing the last part of Problem 1 of the 2008 Calculus BC exam. And I'll repeat the problem. It says, the region R models the surface of a small pond. At all points in R at a distance x from the y-axis, the depth of the water is given by h of x is equal to 3 minus x. Find the volume of the water in the pond.
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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?
2008 Test Prepa Calculus Pdf
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) = Geometry dash scratch.
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?
2008 Test Prepa Calculus 1
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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