MATH 205 Midterm: MATH 205 KSU Test 3f03
15 Feb 2019
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Please read the problems carefully and do all you are asked to do. You can use the back page as a scratch paper. Total/100 #1 #2 #3 #4 #5 #6 #7 #8. Find the in ection point(s) of the function y = xe 0. 25x. Find the global maximum and global minimum of the function y = x3 27x over the interval 2 x 4. If t is in years since 1990, one model for the population of the world, p , in billions, is (a)(6 points). The total cost, in thousands of dollars, for producing a product is given by c(q) = q3 24q2 + 100q, where q is measured in thousands and 0 q 50. Let f (x, y) be a function satisfying f (3, 8) = 15, fx(3, 8) = 2, and fy(3, 8) = 4. Let f (x, y) = (x2 + 2y) ln y. (a)(2 points).
