Question

Let regular curve (a, b) be a unit speed curve with curvature not equal to zero Let u={(s, t) belong to R^2 /a<s<b t not equal to zero.
Define x approach to R^3 by
x(s, t) =alpha s+t alpha prime(s)
prove that x is a simple surface provided x is one to one
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Answer 1

Answer:

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