MAC 2313 Midterm: Exam-3-Review-MAC-2313-1

• School: University of Florida
• Department: Math-Calculus & Precalculus
• Course: MAC 2313
• Professor: All

Document Summary

E = { ( , , ) | 0 , 0 /3, 1/ cos 2 }: evaluate the following integrals: X + y dy dx y sin(x2) dx dy. 1 + x2 + y2 dx dy: convert the integral z 1. D (x2 + y2)3/2 da, where d is the region in the rst quadrant bounded (1) zz by the lines y = 0 and y = 3x and the circle x2 + y2 = 9. (2) zz. D px2 + y2 da, where d is the closed disk with center (0, 1) and radius. 0 in the order dx dy dz: convert z 2 . 3r dz dr d to (1) rectangular coordinates with the order of integration dz dy dx (2) spherical coordinates (3) evaluate one of the above integrals: convert z 1. X2+y2 dz dy dx to spherical coordinates and then. 25(cid:19)3/2 da, where r is the region bounded by the ellipse x2.