Please help with these two questions.

1. Consider the optimal control problem min { J(u) = (u(t) )'dt subject to [10] x' (t) = x(t) + u(t), x(0) = To and x(1) = 0. Show that the optimal control is 4TO u" (t) = 3(e-4/3 - 1 )e-t/3. 2. Solve the optimal control problem max { J(u) = / (3x(t) -2u(t))dt . subject to the dy- namics [20] dx at = x(t) +u(t), r(0) =5, OSu-2