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SurCalEx3F2000

# SurCalEx3F2000 - Survey of Calculus Exam#3 Sections 5.2 5.6...

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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 f =

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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. Set up, but do not evaluate an integral or integrals to find the area of the enclosed region. 6 a. Find the average value of on the interval [ - 2, 2].
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SurCalEx3F2000 - Survey of Calculus Exam#3 Sections 5.2 5.6...

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