ex6_fall11_2313 - Name MAC 2313 Exam 6 Version A SHOW ALL...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Name: MAC 2313 Exam 6 Version A 11/16/2011 SHOW ALL YOUR WORK. Answers without procedure will be graded zero. [6] 1. In the following problems if the angles are not exact, that’s fine, just indicate the answer. a) Convert the point (2 , π 4 , 1) from cylindrical to spherical coordinates. b) Convert the point (4 , π 3 , π 6 ) from spherical to rectangular coordinates. [6] 2. Consider the integral I = Z 1 Z 1 √ x Z 1- y f ( x,y,z ) dzdydx . Switch the order of integration as indicated ***See picture in the book, section 15.6 problem 33*** a) Find bounds for the iterated integral so that I = R R R f ( x,y,z ) dzdxdy b) a) Find bounds for the iterated integral so that I = R R R f ( x,y,z ) dydxdz [6] 3. (Example from class) Find the volume of the solid under the cone z 2 = 9 x 2 +9 y 2 and inside the cylinder x 2 + y 2 = 4, in the first quadrant find the volume of this solid above the xy-plane. [JUST SET UP] [6] 4. Sketch the following (include appropriate labels) *If you drawing is too incomprehensible please describe[6] 4....
View Full Document

Page1 / 6

ex6_fall11_2313 - Name MAC 2313 Exam 6 Version A SHOW ALL...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online