MATH 234 Midterm: Math 234 Fall 2013 Test 1

• School: Northwestern University
• Department: Mathematics
• Course: MATH 234
• Professor: All

Document Summary

Instructions: mark your section, read each problem carefully, write legibly, show all of your work on these sheets, the exam consists of 5 problems and 6 pages. Please verify that you have all 6 pages: you may not use books, notes or calculators, you have 60 minutes to complete this exam. Page 2 of 6: (10 points) evaluate z 1. Page 3 of 6: (10 points) evaluate the triple integral. Zzzd x dv where d is the solid region in the rst octant bounded by the cylinders x2+y2 = 2, y = x2 and the planes x = 0, z = 0, z = y. Page 4 of 6: (10 points) consider the following triple integral. Y2 (a) describe the solid region of integration by giving the equations of the surfaces that bound the solid. (b) convert the triple integral into an iterated integral in cylindrical coordinates but do not evaluate.