MATH 241 Midterm: MATH241_BOYLE-M_SPRING1998_0101_MID_EXAM_2

• School: University of Maryland
• Department: Mathematics
• Course: MATH 241
• Professor: ALL

Document Summary

Put a box around the result of a computation: (20 points) Z 1 y2 sin(x3/2) dxdy . (first draw the domain of integration. Then reverse the order of integration. : (20 points) X2 + y2 dxdy . (first draw the domain of integration. Let d denote the portion of the unit ball (0 x2 + y2 + z2 1) which lies in the rst octant (x 0, y 0, z 0). Let z denote the average height of a point in d above the xy plane. Let t be the triangle with vertices (0, 0), (4, 1) and (1, 2). Let d be the triangle with vertices (0, 0), (1, 0) and (0, 1). Change variables to express the integral over t. Z z x2y da as an integral over d. do not evaluate the resulting integral, just set it up completely: (20 points)