MATH 241 Midterm: MATH241_ROSENBERG-J_FALL2010_0101_MID_EXAM_2

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

Document Summary

Answer each question on a separate answer sheet. Be sure your name, section number, and problem number are on each answer sheet, and that you have copied and signed the honor pledge on the. The point value of each problem is indicated. The exam is worth a total of 100 points. In problems with multiple parts, whether the parts are related or not, the parts are graded independently of one another. Be sure to go on to subsequent parts even if there is some part you cannot do. Please leave answers such as 5 2 or 2 in terms of radicals and and do not convert to decimals. 0 cos3 d = 0: (25 points) find the volume of the portion of the spherical ball {x2 + y2 + z2 4} that is inside the cylinder x2 + y2 = 1. The calculation can be done in your choice of cartesian, cylindrical, or spherical coordinates.