# AP Calculus AB Multiple Choice 2013 Questions And Answers (Part B)

### Questions And Worked Solutions For AP Calculus AB Multiple Choice 2013 (Part B), Practice Exam, Questions 76 to 92

AP Calculus AB Multiple Choice 2013 Questions - Practice Exam (pdf)

1. The graph of the function f shown above consists of two line segments and a semicircle. Let g be defined by
2. The graph of the function f shown above consists of two line segments and a semicircle. Let g be defined by
3. Let f and g be continuous functions such that
4. The figure above shows the graph of f', the derivative of the function f. If f(0) = 0, which of the following could be the graph of f ?
5. For time t > 0, the position of a particle traveling along a line is given by a differentiable function s. If s is increasing for 0 ≤ t < 2 and s is decreasing for t > 2, which of the following is the total distance the particle travels for 0 ≤ t ≤ 5?
6. A cup of tea is cooling in a room that has a constant temperature of 70 degrees Fahrenheit . If the initial temperature of the tea, at time t = 0 minutes, is 200 &degF and the temperature of the tea changes at the rate R(t) = -6.89e-0.053t degrees Fahrenheit per minute, what is the temperature, to the nearest degree, of the tea after 4 minutes?
7. The derivative of the function f is given by f'(x) = x3 - 4 sin(x2) + 1. On the interval (-2.5, 2.5), at which of the following values of x does f have a relative maximum?
8. The table above gives selected values for a continuous function f. If f is increasing over the closed interval [0,3], which of the following could be the value of
9. The graph of a function f is shown in the figure above. Which of the following statements is true?

1. A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = cos √t. What is the velocity of the particle at the first instance the particle is at the origin?
2. If f'(x) > 0 for all x and f''(x) < for all x, which of the following could be a table of values for f ?
3. Let f be the function with first derivative given by f'(x) = (3 - 2x - x2) sin (2x - 3). How many relative extrema does f have on the open interval -4 < x < 2?
4. The graph of a twice-differentiable function f is shown in the figure above. Which of the following is true?
5. What is the volume of the solid generated when the region bounded by the graph of x = √(y - 2) and the lines x = 0 and y = 5 is revolved about the y-axis?
6. The population P of a city grows according to the differential equation dP/dt = kP, where k is a constant and t is measured in years. If the population of the city doubles every 12 years, what is the value of k ?
7. The function f is continuous and
8. The function f is defined for all x in the closed interval [a,b]. If f does not attain a maximum value on [a,b], which of the following must be true?

AP Calculus AB Multiple Choice 2013 Practice Exam Questions and Solutions Part A

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