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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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Section
BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

(a) If a transformation T is given by x = g(u, v), y = h(u, v), what is the Jacobian of T?

(b) How do you change variables in a double integral?

(c) How do you change variables in a triple integral?

(a)

To determine

To explain: The Jacobian of T.

Explanation

Given:

The transformation given by x=g(u,v),y=h(u,v)

The Jacobian of the transformation T is given by, |g(u,v)u<

(b)

To determine

To explain: How to change variables in double integral.

(c)

To determine

To explain: How to change variables in triple integral.

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Chapter 15 Solutions

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