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(Solved): Find the Jacobian (x,y,z)/(u,v,w) of the transformations below. a. x=ucosv,y=usinv,z=6w b. x ...

$Find the Jacobian \( \partial(x, y, z) / \partial(u, v, w) \) of the transformations below. a. \( x=u \cos v, y=u \sin v, z=6$

Find the Jacobian

? (x, y, z) / ? (u, v, w)

of the transformations below. a.

x = u cos v, y = u sin v, z = 6 w

b.

x = 6 u ? 1, y = 3 v ? 4, z = \frac{w ? 5}{2}

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