Question: Hi, I have a differential geometry question. I need your help. Thank you so much. Problem 5: Let a : R - R3 be defined

Hi, I have a differential geometry question.

I need your help.

Thank you so much.

Hi, I have a differential geometry question. I

Problem 5: Let a : R - R3 be defined as a (t) = (cost, sint, 0). Let v : Rx (-1, 1) -> R3 be defined as v (t, s) = 5a(t) + s(cos(t/2) (0, 0, 1) + sin(t/2) a(t)). (a) Sketch the image S of v (b) Show that S is a Co surface in R3 Comment: A Mobius strip is a surface which is diffeomorphic to the surface S defined in problem 5

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