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

Problem

Calculate r′(t)\mathbf{r}'(t) for r(t)=⟨t2,sin⁡t⟩\mathbf{r}(t)=\langle t^{2},\sin t\rangle. (a) ⟨2t,sin⁡t⟩\langle 2t,\sin t\rangle (b) ⟨2t,cos⁡t⟩\langle 2t,\cos t\rangle (c) ⟨t2,cos⁡t⟩\langle t^{2},\cos t\rangle (d) ⟨t,cos⁡t⟩\langle t,\cos t\rangle

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