Find the Jacobian if x = 4u + w, y = 7 + vw, and z = u²v + 3. A) 4u²v - 2uvw B) 4u²v + 2uw² C) 8(u²v + uw²) D) -8(u²v + uw²) E) (u²v + uw²)

Name: Find the Jacobian if x = 4u + w, y = 7 + vw, and z = u 2 v + 3. A) 4u 2 v - 2uvw B) 4u 2 v + 2uw 2 C) 8(u 2 v + uw 2 ) D) -8(u 2 v + uw 2 ) E) (u 2 v + uw 2 )
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Quizplus · Accepted Answer

The Jacobian is the determinant of the matrix of partial derivatives:```J = | 4  1  0 |    | 0  v  w |    | 2uv 0  u^2 |``````J = 4(v*u^2) - 1(0) - 0(2uv) = 4u^2v```

Find the Jacobian If X = 4u + W, Y