# Exercise 4.33 from Spivak's Calculus on Manifolds.

*Calculus on Manifolds*. (Attached).

For the definitions and theorems: http://www.strangebeautiful.com/other-texts/spivak-calc-manifolds.pdf

The exercise is on page 118-119. You can assume every result and exercise above it without proving it.

I'd appreciate details, like indicating when you use a theorem and the like.

Savionf

553

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Paul F

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The answer is accepted.

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