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8th Edition

Stewart + 1 other

Publisher: Brooks Cole

ISBN: 9781305271845

Chapter 15.9, Problem 1PT

Textbook Problem

Find the Jacobian for *x* = *u*^{2}*v*^{2}, *y* = *u*^{2} + *v*^{2}.

- a) 2
*uv*^{3}− 2*u*^{3}*v* - b) 4
*u*^{2}*v*− 4*uv*^{2} - c) 2
*u*^{2}*v*− 2*uv*^{2} - d) 4
*uv*^{3}− 4*u*^{3}*v*

Expert Solution

To determine

The appropriate option for the Jacobian for

The appropriate option is

**Formula used:**

A transformation *T* is

For a *T* from *xy*-space, the Jacobian of *T* is the determinant,

**Calculation:**

Given transformation is

The Jacobian of the transformation

Thus,

Therefore, the appropriate option is

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