FinalFR2007

Calculus: Early Transcendental Functions

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Free Response Final 2007 Name 1. The following is a table of the velocity, v H t L , of a car traveling down a straight road, for 0 £ t £ 50. Time is measured in 5 second intervals, while the velocity is in feet per second t H seconds L 0 5 10 15 20 25 30 35 40 45 50 velocity i k j j j feet ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄ second y { z z z 0 9 20 30 54 71 80 82 75 61 70 H A L Plot the values from the table onto the graph below. Use the graph to determine the intervals when the car ¢ s acceleration will be positive. 5 10 15 20 25 30 35 40 45 50 time 10 20 30 40 50 60 70 80 90 velocity H B L Find the average acceleration of the car, in feet ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ ÄÄÄÄÄÄÄÄÄÄÄÄ second 2 , over the interval 0 £ t £ 50 H C L Give an approximation for the acceleration of the car at t = 25 seconds H D L Approximate 0 50 v H t L dt with a Riemann sum, using the midpoints of 5 subintervals of equal length. Indicate units of measure, and the explain the meaning of the integral.

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2. Let f be a function with f
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This document was uploaded on 10/16/2011.

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FinalFR2007 - Free Response Final 2007 Name 1. The...

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