Problem 2: Given the first-order plant described by x (k+1) = 0.6 x (k) + 0.5 u (k) with the cost function 13 = [a x? (k) + b u? (k)] A) Using the partial-differentiation procedure, calculate the feedback gains required to minimize the cost function with a = 2 and b = 7. B) Using the difference-equation approach, calculate the feedback gains required to minimize the cost function with a = 2 and b = 7. C) Find the maximum magnitude of u (k) as a function of x (0) when a = 2 and b = 7. Problem 2: Given the first-order plant described by x (k+1) = 0.6 x (k) + 0.5 u (k) with the cost function 13 = [a x? (k) + b u? (k)] A) Using the partial-differentiation procedure, calculate the feedback gains required to minimize the cost function with a = 2 and b = 7. B) Using the difference-equation approach, calculate the feedback gains required to minimize the cost function with a = 2 and b = 7. C) Find the maximum magnitude of u (k) as a function of x (0) when a = 2 and b = 7