hw12-4 - ≤ t ≤ 4 Be sure to label your axes 2 Compute...

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Homework 12/4 Part 1. Suppose that f ( t ) is the function whose graph is shown at right. Let g ( x ) = i x 0 f ( t ) dt 1. Compute the secant slope for g on each interval given below. You will have to approximate some integrals. (a) [1 , 2] (b) [1 . 5 , 2] (c) [1 . 75 , 2] (d) [2 , 3] (e) [2 , 2 . 5] (f) [2 , 2 . 25] 2. Guess the value of g (2). 3. Compute f (2). 2 1 -1 -2 1 2 3 4 Part 2. Suppose that f ( t ) = - 3 t + 5 with 0 t 4, and let g ( x ) = i x 0 f ( t ) dt 1. Graph the function f ( t ) on the domain 0
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Unformatted text preview: ≤ t ≤ 4. Be sure to label your axes. 2. Compute g (1). 3. Compute g ( x ), assuming 0 < x < 5 / 3. Simplify your answer. 4. Compute g (3). 5. Compute g ( x ), assuming 5 / 3 < x < 4. Simplify and compare to Problem 3. If they aren’t the same, repeat Problems 3 and 5. 6. Compute g ′ ( x ). 7. Compute f ( x )....
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This note was uploaded on 10/12/2011 for the course MATH 170 taught by Professor Staff during the Fall '08 term at Boise State.

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