Compute the derivative. 3(6) = (cos (50))i + (sin2 (9)) j + (tan (0))k (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) a'w) = \ Find the general solution of the differential equation 1" (t) = (4 St)i + lOtj. (Use symbolic notation and fractions where needed. Give your answer in the form (x(t), y(t), z(t)).) Find the solution with the initial condition r(()) = 2i + 5k. (Use symbolic notation and fractions where needed. Give your answer in the form (x0), y(t), z(t)).)