MATH 023 Study Guide - Midterm Guide: Cylindrical Coordinate System, Spherical Coordinate System, Divergence Theorem
Document Summary
Instructions: answer all questions, without the use of notes, books or calculators. Partial credit will be awarded for correct work, unless otherwise speci ed. The total number of points is 60: (10 pts: 5 each) the mass m of a thin plate d in the xy plane can be calculated as. F . (b) use the fundamental theorem for line integrals to calculate rc part of the curve y = sin x going from (0, 0) to (3 /2, 1). Fall semester 2007: (25 pts total) consider the following vector eld ~f , oriented surfaces s1 and s2, and curve. ~f (x, y, z) = z~i 2y~j (x 2z)~k, S1 = the part of the paraboloid z = 1 x2 y2 that lies above the xy plane, S2 = the part of the xy plane that lies within the paraboloid z = 1 x2 y2, C = the common boundary of s1 and s2.
