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At What Point Does the Curve r(t)=(2t,et,e−t)\mathbf { r } ( t ) = \left( \sqrt { 2 } t , e ^ { t } , e ^ { - t } \right)

Question 60

Essay

At what point does the curve r(t)=(2t,et,e−t)\mathbf { r } ( t ) = \left( \sqrt { 2 } t , e ^ { t } , e ^ { - t } \right) have minimum curvature? What is the minimum curvature?

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