7. Show that Vol is rotation invariant in R2; i.e., if is a rotation on R2...

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7. Show that Vol is rotation invariant in R2; i.e., if ¢ is a rotation on R2 (see Exercise 9, p. 241) and E is a Jordan region in R2, then Vol (¢(E)) = Vol (E).

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 10:15 AM

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Show that Vol is rotation invariant in R2; that is, if is a rotation on R2 (see Exercise 8.2.9) and E is a Jordan region in R2, then Vol((E)) = Vol(E).
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7. Show that Vol is rotation invariant in R2; i.e., if is a rotation on R2...

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An Introduction To Analysis

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