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Multivariable & Vectormedium
0:00.0

A particle moves such that its velocity is v(t)=⟨et,2t,cos⁡t⟩\mathbf{v}(t) = \langle e^t, 2t, \cos t \rangle. Find the position vector r(t)\mathbf{r}(t) if r(0)=⟨1,0,0⟩\mathbf{r}(0) = \langle 1, 0, 0 \rangle.