MATH 205 Midterm: MATH 205 KSU Test 3s06
15 Feb 2019
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For full credit, show your work in detail. Total: 100 #1 #2 #3 #4 #5 #6 #7 #8. The values of the derivative of a function are given in the following table: x f (x) Indicate each of them as a local minimum or a local maximum. Find the in ection point(s) of y = x3 6x2 + 21x + 9. Let g(x) = x3 27x + 5. Find the local minimum and local maximim of g(x). (show your argument using the second derivative test. ) page 2. Find the global maximum and global minimum of the function y = x 2 ln x over the interval 1 x 3. The gure in below shows a cost function c(q). (1). Estimate the average cost at q = 40. page 3 (2). The number n of customers who will purchase a new product t days ahter it has come to the market is given by the logistic model:
