SurCalEx3F2000 - Survey of Calculus, Exam #3 Sections 5.2...

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Survey of Calculus, Exam #3 December 7, 2000 Sections 5.2 – 5.6 and 7.1,2,3,5 Name________________________ Please show all work ON THE EXAM PAPER to receive full credit. Each problem is worth a total of 9 points. I will count the best 11 of 12 to calculate your exam score. 1. Integrate the following: a. dx x e x ) 2 ( 3 b . () dt t t 2 1 2 2 2 6 2. Integrate each of the following: a. dz z z 3 4 4 16 + b . dx x x + 3 2 3 4 3 x x + 4 3. a. A company’s marginal cost function is 25 2 1 ) ( + = x x MC and its fixed costs are 100. Find the cost function. b. find the Gini index for the given Lorenz curve. 3 ) ( x x
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4. a. Approximate the area under the curve from a to b by calculating a Riemann sum with 4 rectangles. 1 ) ( 2 + = x x f [0,2] b. Find the exact area under the curve from a to b for the function listed in part a. 5. a. Find the area of the shaded region. b.
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This note was uploaded on 01/12/2012 for the course MATH 2043 taught by Professor Pamelasatterfield during the Fall '05 term at NorthWest Arkansas Community College.

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SurCalEx3F2000 - Survey of Calculus, Exam #3 Sections 5.2...

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