# A particle moves along the x axis the velocity of the

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79. A particle moves along the x-axis. The velocity of the particle at time tis given by ( ),v tand the acceleration of the particle at time tis given by ( ).a tWhich of the following gives the average velocity of the particle from time 0t=to time 8 ?t=(A) ( )( )808aa-(B) ( )8018v tdtÚ(C) ( )8018v tdtÚ(D) ( )8012v tdtÚ(E) ( )( )082vv+
BBBBBBBBB80. The graph of ,¢fthe derivative of the function f, is shown above. Which of the following statements must be true? I. fhas a relative minimum at 3.= -II. The graph of fhas a point of inflection at 2.= -III. The graph of fis concave down for 04.<<xxx
BBBBBBBBBUnauthorized copying or reuse of any part of this page is illegal.GO ON TO THE NEXT PAGE. -29- 81. Water is pumped into a tank at a rate of ( )()0.1630 1tr te-=-gallons per minute, where tis the number of minutes since the pump was turned on. If the tank contained 800 gallons of water when the pump was turned on, how much water, to the nearest gallon, is in the tank after 20 minutes?
82. If ( )4313 ,=++-¢fxxxxthen fhas a local maximum at =x
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83. The graph above gives the velocity, ,v in ft/sec, of a car for 08,££twhere tis the time in seconds. Of the following, which is the best estimate of the distance traveled by the car from 0=tuntil the car comes to a complete stop?
84. For 1.51.5,-<<xlet fbe a function with first derivative given by ( )(2.-+=-¢xxfxeWhich of the following are all intervals on which the graph of fis concave down? )4
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BBBBBBBBB85. The graph of ,f¢the derivative of f, is shown in the figure above. The function fhas a local maximum at x=
BBBBBBBBBUnauthorized copying or reuse of any part of this page is illegal.GO ON TO THE NEXT PAGE. -32- 86. If ( )0>¢fxfor all real numbers xand ( )740,=Úf t dtwhich of the following could be a table of values for the function ?f(A) x ( )fx4 4-5 3-7 0 (B) x ( )fx4 4-5 2-7 5 (C) x ( )fx4 4-5 6 7 3 (D) x ( )fx4 0 5 0 7 0 (E) x ( )fx4 0 5 4 7 6
BBBBBBBBBUnauthorized copying or reuse of any part of this page is illegal.GO ON TO THE NEXT PAGE. -33- 87. The graph of ,f¢¢the second derivative of f, is shown above for 24.x-££What are all intervals on which the graph of the function fis concave down? (A) 11x-<(B) 02x<(C) 13x<<only (D) 21x-<< -only (E) 21x-<< -and 13x<
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