Question 6 find two positive numbers whose sum is 20

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

View Full Document Right Arrow Icon
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.)
Image of page 3

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

View Full Document Right Arrow Icon
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!)
Image of page 4
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.
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern