Prove that if r(t) takes on a local minimum or maximum value at t 0 , then
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Prove that if ΙΙr(t)ΙΙ takes on a local minimum or maximum value at t0, then r(t0) is orthogonal to r'(t0). Explain how this result is related to Figure 11. Observe that if r(t0) is a minimum, then r(t) is tangent at t0 to the sphere of radius ΙΙr(t0)ΙΙcentered at the origin.
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N r'(to) r(to) r(t)
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