# exam1 - Exam 1 M170-003 Spring 2008 Name(1 pt Show all your...

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Exam 1 M170-003 Spring, 2008 Name: (1 pt.) Show all your work. Regardless of your prior experience with calculus, you must use limit methods for all derivatives on this exam. 1. (15 pts.) The position of a moving object (measured in meters) is given by f ( t ) = 3 cos( π ( t - 1)) with t measured in seconds. Compute the following: (a) The position of the object at time t = 0 . 5 seconds. (b) The change in position on the interval 0 < t < 0 . 5 seconds. (c) The rate of change of position on the interval 0 < t < 0 . 5 seconds. 1

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2. (20 pts.) The graph of a function g ( x ) is shown at right. Use the graph to do the following: (a) Find the rate of change of g on the interval [0 . 5 , 1]. (b) Sketch the corresponding secant line. (c) Find the rate of change of g on the interval [1 , 1 . 5]. (d) Sketch the corresponding secant line. (e) Find the rate of change of g at the point x = 1. –1 –0.5 0 0.5 1 0.5 1 1.5 2 2
h ( t ) = 64 + 4 t - 16 t 2 feet after t seconds. Find the velocity at the instant

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## This note was uploaded on 10/12/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.

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exam1 - Exam 1 M170-003 Spring 2008 Name(1 pt Show all your...

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