At What Point Does the Curve $\mathbf { r } ( t ) = \left\langle t , t , 1 - a t ^ { 2 } \right\rangle , a > 0$

question 21

Essay

At what point does the curve $\mathbf { r } ( t ) = \left\langle t , t , 1 - a t ^ { 2 } \right\rangle , a > 0$ have maximum curvature? What is the maximum curvature?

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