Problem 3. In the questions below suppose the variable x represents students and the variable y represents courses, and A(y) = T if y is an advanced course, S(x) = T if x is a sophomore, F(x) = T if x is a freshman, and T(x, y) = T, if x is taking y. Write the following statements using these predicates and any needed quantifiers. a) There is a course that every freshman is taking. b) No freshman is a sophomore. c) Some freshman is taking an advanced course.