Question 6 find two positive numbers whose sum is 20

• Notes
• 8
• 100% (1) 1 out of 1 people found this document helpful

This preview shows pages 3–6. Sign up to view the full content.

Question 6 Find two positive numbers whose sum is 20 and whose product is maximal . (Just a guess is not enough. Do the relevant calculus work.)

This preview has intentionally blurred sections. Sign up to view the full version.

CALCULUS I, TEST IV 4 PART II - Problem Solving Skills Points for each problem are indicated Part II consists of 4 problems. You must show your work to get full credit. Displaying only the final answer (even if correct) without the relevant steps will not get full credit. Problem 1 [12 points] Suppose that the derivative of a function f is given by f 0 ( x ) = ( x - 2) 3 ( x + 1) Answer all the following questions. (For an extra credit, find a formula for the function f ( x )). (a) Find all the critical numbers of the function f . (b) On what interval(s) is the function f increasing? (Justify your answer!) (c) On what interval(s) is the function f decreasing? (Justify your answer!)
CALCULUS I, TEST IV 5 Problem 2 [12 points] A manufacturer plans to produce a cylindrical container with an open top. Let r denote the radius of the base and h denote the height of the cylinder. The bottom has area πr 2 and the side wall has surface area 2 πrh . The volume of the container is πr 2 h . Suppose the volume must be equal to 1000 π (cubic meters). Find r and h so that the area of the bottom and side wall combined is minimal.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern