Prove that if r(t) takes on a local minimum or maximum value at t0, then r(t0) is
Chapter 13, Problem 65(choose chapter or problem)
Prove that if r(t) 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. Hint: Observe that if r(t0) is a minimum, then r(t)is tangent at t0 to the sphere of radius r(t0) centered at the origin. z y x r'(t0) r(t0) r(t)
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