Question: 1. Evaluate /S 9 Vy2 - 16x2 dA over the region R bounded by the points (2, 8), (0, 16), (2, 24), R and (4,

1. Evaluate /S 9 Vy2 - 16x2 dA over the region

1. Evaluate /S 9 Vy2 - 16x2 dA over the region R bounded by the points (2, 8), (0, 16), (2, 24), R and (4, 16). (a) Determine u and v. (b) Find the corresponding (c) Sketch the region in the (d) Sketch the region in the points in the uv-plane. xy-plane. uv-plane. y 24 1 (x, y) 40 ( u, V ) 20 32 (2,8) 16 24 (0,16) 12 16 (2,24) 8 8 4 (4, 16) x 246 8 8 16 24 32 40 (e) Solve for x and y in terms of u and v. (f) Compute the Jacobian. (g) Evaluate 9 64 Vy2 - 16x2 dA R

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