MATH 0180 Midterm: MATH 180 Brown Exam m180s6b
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Math 180 solution to quiz #6b: cole. Let r be a region in the xy-plane so that f da = /2. R f (r cos , r sin )r dr d for each continuous function f (x, y) on the xy-plane. (a) sketch region r in the xy-plane. Give formulas (in terms of x and y) for each boundary curve. (b) express i = r integrals. (c) express i = r integrals. So, the boundary curves are given by x2 + y2 = 1, x2 + y2 = 4, x = 0, and y = x. R for (c) f (x, y) dx dy + . 0 f (x, y) dx dy + 2. Y2 f (x, y) dx dy. (b) i = 1. X2 f (x, y) dy dx + .
