Exercise 4.33 from Spivak's Calculus on Manifolds.
Exercise 4.33 from Spivak's 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.

574
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment

200
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 508 views
- $50.00
Related Questions
- Find all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ such that $f(2n)+2f(2m)=f(f(n+m))$, $\forall m,n\in \mathbb{Z}$
- Notation question. Where does the x in the denominator come from?
- Evaluate $\int_0^{\frac{\pi}{2}}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} dx$
- Convergence and Holomorphicity of Series in Reinhardt Domains within Complex Analysis
- Explain what the problem means in laymens terms.
- Prove that $f$ is a diffeomorphism $C^∞$, that maps... (More inside)
- Convergence of $\sum\limits_{n=1}^{\infty}(-1)^n\frac{n+2}{n^2+n+1}$
- Finding absolute and relative extrema given an equation.