The Function F Has a Continuous Derivative the Table Above Gives

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

AP Calculus AB Multiple Choice 2008 Questions - Complete Paper (pdf)

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 f increasing?

• Show Video Lesson

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 the following statements are true?

• Show Video Lesson

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. On what interval(s) is f increasing?

• Show Video Lesson

AP Calculus AB Multiple Choice 2008 Question 79

• Show Video Lesson

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 ?)

• Show Video Lesson

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) =

• Show Video Lesson

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?

• Show Video Lesson

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?

• Show Video Lesson

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 has horizontal tangent lines at x = −1, x = 1, and x = 3. At which of the following values of x does f have a relative maximum?

• Show Video Lesson

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?

• Show Video Lesson

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 the position, x(t), of the particle for 0 ≤ t ≤ 4?

• Show Video Lesson

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 is x(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?

• Show Video Lesson

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 when the radius of the sphere is 3 centimeters, what is the rate of change, in square centimeters per second, of the surface area of the sphere? (The surface area S of a sphere with radius r is S = 4πr²)

• Show Video Lesson

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?

• Show Video Lesson

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

• Show Video Lesson

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]?

• Show Video Lesson

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. The population density of the city at any point along a strip x miles from the river's edge is f(x) persons per square mile. Which of the following expressions gives the population of the city?

• Show Video Lesson

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

harrishictoundile.blogspot.com

Source: https://www.onlinemathlearning.com/apcalculusab-multiple-choice2008b.html

Share this post