(a)Based on data from Major League Baseball, the average price of a ticket to a major league game can be approximated by p(x) =0.03x' +0.56x +8.63 where x is the number of years after 1991 and p(x) is in dollars. (i) Find the average rate of change of ticket prices from the year 1992 to 2000.. (ii) Find the instantaneous rate of change of the ticket price in the year 2000. [6M] (b) Find the value of c if f(x)= (x+2) (x-3)" in [-2,3] by using Rolle's Theorem. [4M]