(1c) Let A C R" be a set and let f : A - I be a Co real-valued function. Fix a E A and supposed Hf (a ) has only positive eigenvalues. Which of the following is always true: Of has a local maximum at a. Of has a local minimum at a. Of does not have a saddle point at a. O More than one of the above is always true. O None of the above need to be true. (1d) Let R C R" be a rectangle and let f : R - R be a bounded and integrable on R with f fdV = L. Which of the following is false: O For all & > 0, there exists a partition P of R with L - Lp(f )