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hw10-9-1

# hw10-9-1 - Homework 10/9 Identify each problem as type I...

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Homework 10/9 Identify each problem as type I: “Given location, find slope,” II: “Given slope, find location,” or III: “Find unknown constants.” Then solve each problem. 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. (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. Where is the point of tangency? –1 –0.5 0 0.5 1 1.5 2 –1 1 2 3 4 x 3. Find the slope of the tangent to y = sin(2 x ) at the point x = 1. 4. Find one point on the graph of y = sin(2 x ) where the slope of the tangent line is 1. 5. Section 3.4; problems 32, 34, 35, 36. (No sketches or graphs required.) 6. The parabola y = x 2

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hw10-9-1 - Homework 10/9 Identify each problem as type I...

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