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First determine functions a(x, y) 1. 22 15 a(u, v) 2 = au + bu, y = cu + dv 2. a(x, y) a(u, v) ان انت 5 3 so that (x, y)
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First determine functions a(x, y) 1. 22 15 a(u, v) 2 = au + bu, y = cu + dv 2. a(x, y) a(u, v) ان انت 5 3 so that (x, y)
First determine functions a(x, y) 1. 22 15 a(u, v) 2 = au + bu, y = cu + dv 2. a(x, y) a(u, v) ان انت 5 3 so that (x, y) + (u, v) maps the parallelogram ) with vertices 0 = (0,0), B = (5,5), C = (10, 7), D = = (5,2) 5 8 3. 2(x, y) a(u, v) = | in the xy-plane onto the rectangle with ver- tices 4. a(x, y) a(u, v) 26 15 0 = (0,0), B' B' = (0,3), C' = (3, 3), D' = (3,0) 5. a(x, y) a(u, v) 23 15 (3, 3), D' in the uv-plane. Then compute the Jacobian of this transformation.