DOC PREVIEW
U of M MATH 1271 - Worksheet

This preview shows page 1 out of 2 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 2 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 2 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

Math 1271, Summer 2010, Worksheet 35.11. Let f(x) = x5/3− 20x2/3. Find the critical points of f(x). Use the first derivative testto determine which critical values give a local maximum and which give a local minimumfor f(x). Second, test values using the second derivative test.2. The function f (x) is continuous and has the following properties:(a) f0(−2) = 0, f0(3) = 0, f0(10) = DNE, f00(0) = 0, f00(3) = 0, and f00(10) = DNE.(b) f0(x) > 0 when −2 < x < 3 or 3 < x < 10. Also, f0(x) < 0 when x < −2 or x > 10.(c) f00(x) > 0 when x < 0, 3 < x < 10, or x > 10. Also, f00(x) < 0 when 0 < x < 3.This function has 3 critical points. What are they? Using the second derivative test,determine which critical points give f a local maximum, which give f a local minimum, andwhich give f neither.Do the above problem over again by using the first derivative test to see if the 3 criticalpoints result in maxima, minima or neither.1Math 1271, Summer 2010, Worksheet 35.21. Let f(x) = (2x+1)3/2+(22− x)3/2for −1/2 < x < 22. Find all the values of x such thatf(x) has a local minimum value and the values of x such that f(x) has a local maximumvalue. Include endpoints.2. A storage room is to be constructed with a volume of 9,000 ft3. It is to have a squarebase. Material for the bottom costs $5 per ft2, material for the top costs $3 per ft2, andmaterial for the sides costs $12 per ft2. Find the length of one side of the base and the heightin order that the cost of material to construct the room is a


View Full Document

U of M MATH 1271 - Worksheet

Documents in this Course
Notes

Notes

1 pages

Notes

Notes

1 pages

Notes

Notes

1 pages

Notes

Notes

1 pages

Notes

Notes

1 pages

Notes

Notes

1 pages

Notes

Notes

1 pages

Notes

Notes

1 pages

CALCULUS

CALCULUS

10 pages

CALCULUS

CALCULUS

10 pages

CALCULUS

CALCULUS

10 pages

Load more
Download Worksheet
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view Worksheet and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Worksheet 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?