{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MAT296-2006Fall

# MAT296-2006Fall - I nstructor's n ame M AT 296 F INAL E XAM...

This preview shows pages 1–9. Sign up to view the full content.

December 13, 2006 Instructor's name: MAT 296 FINAL EXAM NAME: Student ID: Write your answers and show all your work on this test. There are 9 problems on 9 pages (including this cover sheet), for a total of 100 points. To receive full or partial credit, the correct work leading to the correct answer must be written down. Unsupported answers will receive little or no credit. Graphics calculators may be used. Symbolic calculators, such as TI-89 or TI-92, may not be used. Problem Score 1 15 2 12 3 10l 4 8) 101 5 ( 6 I 10 7 10 8 10 9 15 Total (100) 1

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

View Full Document
1.(15 points) Consider the region enclosed by the curves y = x 2 and y = 1. (a) Sketch this region and find its area. (b) Set up an integral that gives the volume of the solid obtained by rotating this region about the line x = 2. Do not evaluate the integral. 2
2.(12 points) Evaluate the following: (a) J x cos 2x dx (b) J sin 3 x cos" x dx 3

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

View Full Document
2x2 + X dx 3.(10 points) Evaluate J (x _ 2)(x2 + 1) 4
roo dx 4.(8 points) Evaluate J o (x + 1)3 5.(10 points) Consider the curve with parametric equations x =

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

View Full Document

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

View Full Document
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