how to solve it?

Problem 7. (10 points) Consider the following optimization problem: minimize / " ()" QC($)=() 26(8)+2()s ++ where x : [0, 1] + R" is the vector-valued function to be found, Q : [0, 1] + Sk is an n-by-n symmetric positive-definite matrix-valued function, and b : [0, 1] R is a vector-valued function, of f. Assume that theses functions are all Riemann integrable and infinitely differentiable. Answer the following questions. (a) (5 points) Using the fact that the objective function can be minimized by minimiz- ing the integrand at each f, derive the global minimizer x*(f). Problem 7. (10 points) Consider the following optimization problem: minimize / " ()" QC($)=() 26(8)+2()s ++ where x : [0, 1] + R" is the vector-valued function to be found, Q : [0, 1] + Sk is an n-by-n symmetric positive-definite matrix-valued function, and b : [0, 1] R is a vector-valued function, of f. Assume that theses functions are all Riemann integrable and infinitely differentiable. Answer the following questions. (a) (5 points) Using the fact that the objective function can be minimized by minimiz- ing the integrand at each f, derive the global minimizer x*(f)