AP Calculus Practice Exam
AB Version - Section I - Part A
Calculators ARE NOT Permitted On This Portion Of The Exam
28 Questions - 55 Minutes
1) Give f(g(1)), given that
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2) Find the slope of the tangent line to the graph of f at x = 4, given that
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3) Determine
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4) LetA region is bounded between the graphs of y = -1 and y = f(x) for x between -1 and 0, and between the graphs of y = 1 and y = f(x) for x between 0 and 1. Give an integral that corresponds to the area of this region.
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5) Given that Determine the change in y with respect to x.
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6) Compute the derivative of
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7) Compute
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8) Determine
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9) Give the equation of the normal line to the graph of at the point ( 0 , -3 ).
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10) Determine the concavity of the graph of at x = .
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11) Compute
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12) Give the value of x where the functionhas a local maximum.
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13) The slope of the tangent line to the graph of at x = 0 is 4. Give the value of c.
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14) Compute
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15) What is the average value of the functionon the interval from x = -3 to x = -1?
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16) Compute
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17) Find the instantaneous rate of change of at t = 0.
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18) Compute
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19) A solid is generated by rotating the region enclosed by the graph of the lines x = 1, x = 2, and y = 1, about the x-axis. Which of the following integrals gives the volume of the solid?
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20) Compute
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21) Given y > 0 and If the point is on the graph relating x and y, then what is y when x = 0?
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22) Determine
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23) Determine
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24) A particle's acceleration for t > 0 is given by The particle's initial position is 2 and its velocity at t = 1 is 5. What is the position of the particle at t = 2?
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25) Determine
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26) Determine the derivative of at x = /2.
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27) Compute the derivative of
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28) Determine
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