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MATH 205 Midterm: MATH 205 KSU Test 3s04

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turquoisegnu128

15 Feb 2019

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Kansas State University

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Please read the problems carefully and do what you are asked to do. You can use the back page as a scratch paper. Find the in ection point(s) of the function y = (x + 2)e 0. 5x 4x. Find the global maximum and global minimum of the function y = x4 16x2 + 10 over the interval 2 x 4. What does this model predict for the maximum sustainable population of the island? (c)(6 points). The total cost, in thousands of dollars, for producing a product is given by c(q) = q4 27q2 + 400q, where q is measured in thousands and 1 q 100. Let f (x, y) be a function satisfying f (2, 5) = 8, fx(2, 5) = 6, and fy(2, 5) = 8. Let f (x, y) = (x2 + 2yx + 1) ln(x + y). (a)(2 points). Let f (x, y) = y2 (a)(6 points). fx(x, y) = x.

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