please see image (10 and 11)

10. [5] Find two non-negative numbers a and b, whose sum in 23, that maximize a + 62. SHOW ALL WORK. 11. [6] Let f(x) = x - 1 (a) Verify that f satisfies the hypothesis of the Mean Value Theorem on the interval [2,3]. (b) Find all points in the interval (2,3) that are guaranteed to exist by the Mean Value Theorem