Answer Happy

Find r(t) and the velocity vector v(t) given the acceleration vector a(t) and the position r(0) = (2, 1, 1). (Use symbolic notation and fractions where needed. Give your answer in the vector form.) v(t) = r(t) = = = (6e¹, 16t, 14t + 8), the initial velocity v(0) = (1, 0, 1),
Find the solution of the differential equation r"(t) = (e¹0t-10, ț² – 1, 1) with the initial conditions r(1) = (0, 0, 6), r' (1) = (8,0,0). (Use symbolic notation and fractions where needed. Give your answer in vector form.) r(t) =