If r(t)=⟨t2,sin(t),et⟩\mathbf{r}(t) = \langle t^2, \sin(t), e^t \rangler(t)=⟨t2,sin(t),et⟩, find the velocity vector v(t)\mathbf{v}(t)v(t) at t=0t=0t=0.
⟨0,1,1⟩\langle 0, 1, 1 \rangle⟨0,1,1⟩
⟨2,1,0⟩\langle 2, 1, 0 \rangle⟨2,1,0⟩
⟨0,0,1⟩\langle 0, 0, 1 \rangle⟨0,0,1⟩
⟨1,0,1⟩\langle 1, 0, 1 \rangle⟨1,0,1⟩