a If f is a differentiable vector field on M C Rn, show that there is an open set A 1069 M and a differentiable vector field F on A with F(x) F (x) for x 1028 M b If M is closed, show that we can choose A Rn ...

b In the construction of part a one can assume that the are open rectangles with sides ...

a. If f is a differentiable vector field on M C Rn, show that there is an

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a. If f is a differentiable vector field on M C Rn, show that there is an open set AЭM and a differentiable vector field F on A with F(x) = F (x) for xЄM.
b. If M is closed, show that we can choose A = Rn.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Jan 12, 2010 12:39 AM

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a. If f is a differentiable vector field on M C Rn, show that there is an

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