A particle moves along the curve r(t)=(t3,cost,et)\mathbf{r}(t) = (t^3, \cos t, e^t)r(t)=(t3,cost,et). Find the acceleration vector a(0)\mathbf{a}(0)a(0) at t=0t = 0t=0.
(0,0,1)(0, 0, 1)(0,0,1)
(0,−1,1)(0, -1, 1)(0,−1,1)
(0,−1,0)(0, -1, 0)(0,−1,0)
(6,0,1)(6, 0, 1)(6,0,1)