11Breview4

11Breview4 - ucsc econ/ams 11b Review Questions 4...

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Unformatted text preview: ucsc econ/ams 11b Review Questions 4 Differentials and Basic Integration 1. Compute the differentials of the functions below. a. y = x2 − 3x + 1, b. u = e x2 −3x+1 , dy = du = 2. Use differentials to estimate not in decimal form. √ 3 28. Express your answer as a simple fraction, a/b, 3. Compute the indefinite integrals below. a. b. c. 3x4 − 2x3 + 6x2 + 2x − 1 dx = √ 5 x3 dx = 3x2 − 4x + 1 dx = x5 1 4. Find the function y = f (x), given that y = x − , and f (1) = 3. x 5. Find the function y = g (x), given that y = x2 − 1, y (1) = 2 and y (1) = 2. 6. The marginal revenue function for a firm is dr = 200 − q 2/3 . dq Find the firm’s demand function. 7. A firm’s fixed cost is $12000, and their marginal cost function is dc = (q + 1000)1/3 + 50. dq Find the firm’s cost function. ...
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This note was uploaded on 09/16/2011 for the course ECON 11B taught by Professor Binici during the Spring '08 term at UCSC.

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