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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding a JcobianIn Exercises 71–74, find the Jacobian ( x , y ) / ( u , v ) for the indicated change of variables.

x = u 2 + v 2 , y = u 2 v 2

To determine

To calculate: The Jacobian (x,y)(u,v) for the indicated change in variables x=u2+v2 and y=u2v2.

Explanation

Given:

The value of x=u2+v2 and value of y=u2v2.

Formula used:

Jacobian (x,y)(u,v)=xuyvyuxv

Calculation:

Taking the given equation:

x=u2+v2y=u2v2

The definition of Jacobian implies that:

(x,y)(u,v)=|xuxvyuyv|=xuyvyuxv

In above equation we substitute the value of x and y

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Chapter 14 Solutions

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