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13 Nov 2019
Use Change of Variables to evaluate-) dA where D is the trapezoid bounded by the functions x-y-1, x-1-2, x = 0, and 3-0. Some hints. The map G-1 (z,y) = (z+ y,x-y) maps the region D in the Ty-plane to some region Do in the uv-plane. You will want to find the map G(u, v) from the region Do in the uv-plane to the region D in the ry-plane. Then, use these maps to figure out what the region Do in the uv-plane is. It is NOT a rect angle.
Use Change of Variables to evaluate-) dA where D is the trapezoid bounded by the functions x-y-1, x-1-2, x = 0, and 3-0. Some hints. The map G-1 (z,y) = (z+ y,x-y) maps the region D in the Ty-plane to some region Do in the uv-plane. You will want to find the map G(u, v) from the region Do in the uv-plane to the region D in the ry-plane. Then, use these maps to figure out what the region Do in the uv-plane is. It is NOT a rect angle.
Keith LeannonLv2
7 Jan 2019