6. Suppose that I is a nonempty, open interval and f : 1-+ Rm is differentiable on...

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6. Suppose that I is a nonempty, open interval and f : 1-+ Rm is differentiable on I. If f(I) ~ aBr(O) for some fixed r > 0, prove that f(t) is orthogonal to f'(t) for all tEl.

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