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)

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76. The graph of the function f shown above consists of two line segments and a semicircle. Let g be defined by
77. The graph of the function f shown above consists of two line segments and a semicircle. Let g be defined by
78. Let f and g be continuous functions such that
79. 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 ?
80. 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?
81. 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?
82. 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?
83. 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
84. The graph of a function f is shown in the figure above. Which of the following statements is true?

85. 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?
86. 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 ?
87. 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?
88. The graph of a twice-differentiable function f is shown in the figure above. Which of the following is true?
89. 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?
90. 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 ?
91. The function f is continuous and
92. 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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