use the principle of the maximum to find the solution to the optimal control problem.

a. maxc(t) Jto (1 + (k(t) )2)0.5 dt; k(t) = c(t); k(to) = ko; k(to) = ko b. mine(t) fo (c(t) + (k(t) )dt; k(t) = 1 - (c(t))2; k(0) = 1; k(1) = 9/4