7 Problems on Homework 11 - Survey of Calculus | MATH 160, Assignments of Calculus

Download 7 Problems on Homework 11 - Survey of Calculus | MATH 160 and more Assignments Calculus in PDF only on Docsity! Allen – Math 160 A Homework #11 Date Due: Thursday, November 29 Instructions: Please work the following problems on other pieces of paper. You must show all work and calculations in order to receive full credit. I would prefer to collect your assignments in class on the day it is due, but I will accept it as late as 5:00 PM on the due date. Assignments submitted later will receive 50% credit. 1. Determine the absolute extrema of the function f(x) = x4− 8x3 +6x2 +40x− 15 on the interval [−3, 3]. Write your answer as ordered pairs. Hint: x3 − 6x2 + 3x + 10 = (x + 1)(x− 2)(x− 5). 2. Section 5.4 # 22. 3. Section 5.4 # 32. 4. Section 5.4 # 36. 5. Let f(x) = x + 3 (x− 2)2 . Determine the absolute extreme of f on the interval (−10, 0). Write your answer as an ordered pair, and indicate whether it is an absolute maximum or an absolute minimum. 6. Section 5.5 # 20. In addition, determine what the minimum cost is. 7. Section 5.5 # 22. In addition, determine what the maximum volume is (round your answer to 2 decimal places). 1