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

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ucsc econ/ams 11 b Review Questions 4 Differentials and Basic Integration 1. Compute the differentials of the functions below. a. y = x 2 - 3 x + 1 , dy = b. u = e x 2 - 3 x +1 , du = 2. Use differentials to estimate 3 28. Express your answer as a simple fraction, a/b , not in decimal form. 3. Compute the indefinite integrals below. a. Z 3 x 4 - 2 x 3 + 6 x 2 + 2 x - 1 dx = b. Z 5 x 3 dx = c. Z 3 x 2 - 4 x + 1 x 5 dx = 4. Find the function y = f ( x ), given that y 0 = x - 1 x , and f (1) = 3. 5. Find the function
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