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Question

Plot the tangent line together with the curve over the given interval.

r(t)=(sinttcost)i+(cost+tsint)j+t2k\mathbf{r}(t)=(\sin t-t \cos t) \mathbf{i}+(\cos t+t \sin t) \mathbf{j}+t^2 \mathbf{k}, 0t6π,t0=3π/20 \leq t \leq 6 \pi, \quad t_0=3 \pi / 2

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The goal of the final part of the exercise is to draw the tangent line to the curve together with the curve.

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