AP Calculus AB Multiple Choice 2014 Questions - Practice Exam (pdf)

AP Calculus AB Multiple Choice 2014 Practice Exam Questions and Solutions Part A

- A particle moves along a straight line so that at time t > 0 the position of the particle is given by s(t), velocity is given by v(t), and the acceleration is given by a(t). Which of the following expressions gives the average velocity of the particle on the interval [2,8]?
- If sin
- The function f is differentiable and increasing for all real numbers x, and the graph of f has exactly one point of inflection. Of the following, which could be the graph of f', the derivative of f ?
- A vase has the shape obtained by revolving the curve y = 2 + sinx from x = 0 to x = 5 about the x-axis, where x and y are measured in inches. What is the volume, in cubic inches, of the vase?
- The table above gives selected values of a function f. The function is twice differentiable with f''(x) > 0. Which of the following could be the value of f'(3) ?
- At time t = 0 years, a forest preserve has a population of 1500 deer. If the rate of growth of the population is modeled by R(t) = 2000e
^{0.23t}deer per year, what is the population at time t = 3 ? - The figure above shows the graph of f ¢, the derivative of function f, for -6 < x < 8. Of the following, which best describes the graph of f on the same interval? (A) 1 relative minimum, 1 relative maximum, and 3 points of inflection (B) 1 relative minimum, 1 relative maximum, and 4 points of inflection (C) 2 relative minima, 1 relative maximum, and 2 points of inflection (D) 2 relative minima, 1 relative maximum, and 4 points of inflection (E) 2 relative minima, 2 relative maxima, and 3 points of inflection
- Let f and g be continuous functions such that
- The regions A, B, and C in the figure above are bounded by the graph of the function f and the x-axis. The area of region A is 14, the area of region B is 16, and the area of region C is 50. What is the average value of f on the interval [0,8]?
- A particle moves along the x-axis so that its velocity at time
- Line l is tangent to the graph of y = e
^{x} - A differentiable function f has the property that f'(x) &e; 3 for 1 ≤ x ≤ 8 and f(x) = 6. Which of the following could be true?
- The graph of the differentiable function f is shown in the figure above. Let h be the function defined
- What is the area of the region enclosed by the graphs of y = e
^{x}- 2, y = sin x and x = 0 ? - A particle moves along a line so that its velocity is given by
- Let F be a function defined for all real numbers x such that F
- The table above gives values of the differentiable functions f and g, and f', the derivative of f, at selected values of x. If g(x) = f
^{-1}, what is the value of g'(4) ?

AP Calculus AB Multiple Choice 2014 Practice Exam Questions and Solutions Part A

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