MTH 309 Lecture 32: MTH309_4_31

Exam 3 Monday, November 20, 2017 Math 241, Fall 2017 1. Evaluate each integral. It may be useful to change the order of integration or to switch to polar coordinates. dy dr

Name:_ Due: November 27 (Monday), 2017 Solve the following problems. Show your work. (No credit will be given for an answer with no supporting work shown.) 1. (3 points) SSS, rºdy, where E is bound by the ez-plane and the hemispheres y = V9 – 72 – 22 and y = V16 – 12 – 22. (Use spherical coordinates)

Math 241, Fall 2017 Exam 3 - Monday, November 20, 2017 2. Calculate each of the following quantities: (a) The double integral JJRelv dA where R is the triangular region in the plane with vertices (0,0), (1,1), and (2,1). (b) The area of the region in the plane lying inside the circle 2 + 4, to the right of the line 1, and above the line y