Math 126 Fall 2003

# Math 126 Fall 2003 - MATH 126 FINAL EXAM Read the problems...

This preview shows pages 1–2. Sign up to view the full content.

MATH 126 FINAL EXAM 12/17/03 Read the problems carefully and answer the questions asked. Write neatly and indicate clearly your answer to each problem. All problems count equally and you are to do all ten problems. You must show your work to obtain full credit. Calculators, note, books, or collaboration with others are not allowed. 1. Let T be the bounded region between the graphs of y = x and y = x 2 . Set up but do not evaluate the integrals representing the volumes for the solids obtained by rotating T about: i) the y -axis ii) the line y = 2. 2. Find (i) Z x ln( x ) dx ; (ii) Z (1 - sin( x )) 2 cos 2 ( x ) dx. 3. Find Z 1 0 dx 2 x - x 2 or explain why it does not exist. 4. Find Z 1 dx x 2 ( x 2 + 1) or explain why it does not exist. 5. A tank has the shape of a circular cone with its point downward and resting on the ground. The tank is four meters high and the diameter of the circle at the top is three meters. If the tank is filled to the depth of two meters with a liquid of density ρ find the work done in pumping the liquid over the top rim of the cone.

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