Consider, 21u = 2x – 3y and 21v = -–x+y Find the value of the Jacobian a (x, y) a (u, v)

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A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

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Q: If u = 2x - 3y, v = -x + y. Then the Jacobian J(u,

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A: Given: u=(u1,u2)v=(v1,v2)

Q: use implici't differen tiatiom to brind dyldu at the pont (2,2) = 1+y" エ+Scu

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Q: Compute the Jacobian at the indicated point. G(r, t) = (r sin (t), r — cos (t)), (r, t) = =(5,2)…

A: Jacobian of the function

Q: 1 (3x + 2y) and v = 15 1 (2 + 4y). Consider, u 70 Find the value of the Jacobian a (x, y) a (u, v)…

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

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A: This question can be solved using the concept of cross product of vectors.

Q: Verify the chain rule for jacobian, if y2 u = x + , v = * y2 %3D

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