# hw9-14 - Math 170-007 Homework 9/14 Fall 2010 1 The graph...

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Homework 9/14 Fall 2010 1. The graph of a function f ( x ) is shown at right. Approximate the rate of change of f at each of the following points: (a) x = 0 . 3 (b) x = 0 . 5 (c) x = 0 . 7 Each solution must be supported by at least two reasonably chosen secant slopes. 2. Fill in the following table of values for the function f ( x ). Use answers from from Problem 1, but judge the rest of the tangent slopes by just looking at the graph of f . x - 0 . 5 - 0 . 3 0 0 . 3 0 . 5 0 . 7 0 . 9 f ( x ) 3. The height, h , of a projectile (in meters) is a function of time, t , (in seconds) as shown in the following table. t (s) 0 5 10 15 20 25 30 35 40 45 50 h (m/s) 0.2 0.6 0.9 1.1 1.2 1.1 0.9 0.6 0.2 - 0 . 3 - 0 . 9 Use this data to estimate the velocity at times t = 10, 20, 30 and 40 seconds. Each solution must be supported by at least two reasonably chosen average velocities. 4. Use your answers from Problem 3 to sketch a graph of the velocity function. Make sure your axes are properly labeled, including units. 1

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hw9-14 - Math 170-007 Homework 9/14 Fall 2010 1 The graph...

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