If , find , , , and…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

If r(t)=⟨e2t,e−3t,t⟩\mathbf{r}(t) = \langle e^{2t}, e^{-3t}, t \rangle , find r′(0)\mathbf{r}'(0) , T(0)\mathbf{T}(0) , r′′(0)\mathbf{r}''(0) , and r′(0)×r′′(0)\mathbf{r}'(0) \times \mathbf{r}''(0) .

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