hw2-12-1 - Homework 2/12 Identify each problem as: Type I:...

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Unformatted text preview: Homework 2/12 Identify each problem as: Type I: Given location, find slope, or Type II: Given slope, find location. Then solve each problem. 1. An object is launched upward from a tower so that after t seconds its height above ground is h(t) = 100 + 60t − 16t2 feet. (a) What is its velocity after 1 second? (b) What is its velocity after 3 seconds? (c) When is its velocity −60 ft/s? (d) What is its velocity at the time when it hits the ground? (e) How high is it when its velocity is −68 ft/s? 2. The graph of f (x) = x3 − x2 (shown at right) has two tangent lines with slope 1. 1 (a) Find the equations of those lines. (b) Sketch them in the graph at right. 0.5 –1 –0.5 0.5 0 –0.5 –1 –1.5 –2 1 1 1.5 1 has a tangent line x that passes through (0, 1.5) as shown at right. 3. The graph of f (x) = 2 1.5 (a) Where is the point of tangency? 1 (b) Find the equation of the tangent line at the point (2, 0.5). Sketch this line in the graph at right. 0.5 –1 0 –0.5 1 2 x –1 Hints and Answers 1. a) (I) 28 ft/s; b) (I) −36 ft/s; c) (II) 3.75 s; d) (I) −100 ft/s; e) (II) 84 ft. 2. Hint: One of the locations is x = −1/3. 3. a) (II) x = 4/3; b) (I) y = −x/4 + 1. 2 3 4 ...
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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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hw2-12-1 - Homework 2/12 Identify each problem as: Type I:...

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