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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

At What Point Does the Curve r(t)=⟨t,t,1−at2⟩,a>0\mathbf { r } ( t ) = \left\langle t , t , 1 - a t ^ { 2 } \right\rangle , a > 0r(t)=⟨t,t,1−at2⟩,a>0

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