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Unformatted text preview: Math 170-007 Homework 9/9 Fall 2010 NOTE: You MAY NOT use any techniques of differentiation that you might know from prior experience with Calculus. Every derivative must be computed using the method of: Compute many secant slopes. Use this information to determine tangent slope. 1. An object is dropped from a tower so that after t seconds its height above ground is h ( t ) = 100- 16 t 2 feet. Identify each of the following questions as either Type 1: Given location, find slope, or Type 2: Given slope, find location. Then answer the question. (a) What is its velocity after 2 seconds? (b) When is its velocity- 60 ft/s? (c) What is its velocity at the time when it hits the ground? (d) How high is it when its velocity is- 48 ft/s? 2. The graph of f ( x ) = 1 /x has a tangent line that passes through (0 , 1 . 5) as shown at right. (a) Where is the point of tangency? (b) Find the equation of the tangent line at the point (2 , . 5). Sketch this line in the graph at right.in the graph at right....
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