# TeamHw1 - The graph of h t is shown below 0.5 1 1.5 2 2.5 3...

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Math 116 Winter 2012 Team Homework 1 Problem 1 : Review problems for Chapter 5: # 20 (page 291). Use left-hand sums with three subintervals to approximate each of the quantities in part c). Are these approximations overestimates or underestimates? Justify. Problem 2 : A ball is attached to a coiled spring which is suspended from the ceiling of a room. The function h ( t ) gives the height of the object above the ﬂoor of the room at time t . The position of the object at time t = 0 is 2 ft above the ﬂoor.
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Unformatted text preview: The graph of h ( t ) is shown below 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 − 1.5 − 1 − 0.5 0.5 1 1.5 t h’(t) 1. For which values of 0 ≤ t ≤ 5 is h ( t ) decreasing? 2. For which values of 0 ≤ t ≤ 5 is h ( t ) concave up? 3. Does the ball ever hit the ﬂoor? 4. Estimate the maximum height the ball reaches on the interval shown in the graph. Problem 3 : Projects for Chapter 5: Project 1 (page 297). Problem 4 : Section 6.2: # 78. 1...
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## This note was uploaded on 01/28/2012 for the course MATH 116 taught by Professor Irena during the Fall '07 term at University of Michigan.

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