5. (14 points) (a) (4 points) Fill in the blanks to complete the statement of the Intermediate Value Theorem: Suppose that f is on the interval [42, b] and let N be any number between . Then there exists in (a, b) such that (b) (10 points) Prove that there is a real number 0 such that 02 100 = 9.1112(0)