# c3-t4 - Name TEST4/MAC2313 Page 1 of 6 Read Me First Show...

This preview shows pages 1–3. Sign up to view the full content.

Name: TEST4/MAC2313 Page 1 of 6 ______________________________________________________________________ Read Me First: Show all essential work very neatly. Use correct notation when presenting your computations. Write using complete sentences. Remember this: "=" denotes "equals" , " " denotes "implies" , and " " denotes "is equivalent to". Generic vector objects must be denoted by using arrows. Since the answer really consists of all the magic transformations, do not "box" your final results. Show me all the magic on the page neatly. ______________________________________________________________________ 1. (10 pts.) Let F ( x , y , z ) = < x 2 , -2, yz >. Compute the divergence and the curl of the vector field F . (a) div F = (b) curl F = ______________________________________________________________________ 2. (10 pts.) Convert the given iterated integral into an iterated integral in polar coordinates that has the same numerical value and is easier to evaluate, perhaps. Do not attempt to evaluate the iterated integrals. A picture might help. 0 3 (9 x 2 ) 1/2 0 2 x ( x 2 y 2 ) dydx

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

View Full Document
TEST4/MAC2313 Page 2 of 6 ______________________________________________________________________ 3. (10 pts.) Write down the triple iterated integral in cylindrical coordinates that would be used to compute the volume of the solid G whose
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