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13 Nov 2019

# 1. Give a rough sketch of the region and evaluate the following integrals or show diver- gence. (You may need to change the order of integration.) dA, where D is the triangle with vertices (0,0), (0,1) and (1,1) -1 J-21í¼ (page 288, #4(b)) (c) cos y dA, where D is the triangle with vertices (0,0), (4,4) and (0,4) 1 c2-r 1-r (e)yel+ dA, where D is the first quadrant region below y and between an y cos r dy dr y)d dy (page 293, #4(a)) (i) . y sin(z + y2) dA, where D = [0,2] x [o, 2] u [1.3] Ã [1,3] (j) -sin (-) dA, where D = (z, y) E R2 !--x

1. Give a rough sketch of the region and evaluate the following integrals or show diver- gence. (You may need to change the order of integration.) dA, where D is the triangle with vertices (0,0), (0,1) and (1,1) -1 J-21í¼ (page 288, #4(b)) (c) cos y dA, where D is the triangle with vertices (0,0), (4,4) and (0,4) 1 c2-r 1-r (e)yel+ dA, where D is the first quadrant region below y and between an y cos r dy dr y)d dy (page 293, #4(a)) (i) . y sin(z + y2) dA, where D = [0,2] x [o, 2] u [1.3] Ã [1,3] (j) -sin (-) dA, where D = (z, y) E R2 !--x

Lelia LubowitzLv2

21 Jan 2019