36 Consider the function f(:l3) = Y + 3:1: on the interval [1, 36]. Find the average rate of change of the function on this interval. Report the EXACT value. By the Mean Value Theorem, we know there exists a c in the open interval (1, 36) such that f ' (c) is equal to this average rate of change. For this function, there is only one c that works. Find it. Report the EXACT value. c