Question: Solve question with step by step (Calculus and Vector Analysis) 7. (15 points) Let D be the parallelogram spanned by the vectors (3, 4), (5,

Solve question with step by step (Calculus and Vector Analysis)

7. (15 points) Let D be the parallelogram spanned by the vectors (3, 4), (5, 1). Apply the Change of Variables Formula to the map G(u, v) = (5u + 3v, u + 4v) to evaluate ry dady as an integral over Do = [0, 1] x [0, 1]. 8. (15 points) Compute the divergence and curl of F = (2xzer, 0, et"), and if possible, find a potential function for F. Is F a conservative vector field

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