Question: Please solve the following with explanation! 6. (10 points) Maximize the integral f01(x'2 4x2 + 12:1':e')dt with respect to functions x(t), satisfying the initial condition

Please solve the following with explanation!

6. (10 points) Maximize the integral f01(x'2 4x2 + 12:1':e')dt with respect to functions x(t), satisfying the initial condition x(0) = 2 and the terminal condition a) 33(1) Z -10, b) :1:(1) g 10

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