QUIZ 14

# QUIZ 14 - MTH 243 Calculus for Functions of Several...

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

MTH 243 Calculus for Functions of Several Variables Worksheet 14/Fall 2013 Name: 14.1 Evaluate the integral (a) i 1 0 dx i x 0 dy e x 2 = (b) i 2 0 dx i 3 x 0 dy ( x 2 + 3 y 2 ) = 14.2 Evaluate the integrals by reversing the order of integration. (a) i 1 0 dy i 1 y dx r 2 + x 3 = (b) i 2 0 dy i 4 y 2 dx y sin( x 2 ) = 14.3 Find the average value of f ( x, y ) = 6 x 2 y over the triangle bounded by x = 4 , y = 2 , and y = x + 1 .

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

View Full Document
SOLUTIONS for Quiz 14; MTH243, URI, /Fall 2013 14.1 (a) i 1 0 dx i x 0 dy e x 2 = i 1 0 dx x e x 2 = 1 2 i 1 0 e t dt = 1 2 ( e - 1) 0 . 859141 . (b) i 2 0 dx i 3 x 0 dy ( x 2 + 3 y 2 ) = i 2 0 dx 30 x 3 = 120 . 14.2 Evaluate the integrals by reversing the order of integration. (a) I = i 1 0 dy i 1 y dx r 2 + x 3 = i 1 0 dx i x 2 0 dy r 2 + x 3 = i 1 0 dx x 2 r 2 + x 3 = 1 3 i 1 0 dt 2 + t = 2 3 - 4 2 9 0 . 526161
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