Find the position function given.
a(t)=(27e⁻³ᵗ, 12t, -cos(t))
v(0) = (6,0,4)
r(0) = (15, 0, 7)
a. (3e⁻³ᵗ+15+12, 2t³, -sin(t)+4t-6)
b. (9e⁻³ᵗ+15t+12, 2t³, -sin(t)+4t+6)
c. (3e⁻³ᵗ+12, 2t³, cos(1) +41+6)
d. (3e⁻³ᵗ+15+12, 2t³, cos(t)+4+6)