3. Let G be your academic group number. Let a be the leading digit and b the second digit of the integer 77 4G, e.g. a = 2, b = 9 for G = 12. Consider the function f(x) = (2am 11)(x a b 11)(11rc + b). Give careful answers to the following questions. a) Prove that the equation f (.73) = 2021 has a solution. Clearly indicate any theorems you use and explain why these theorems are applicable to f. b) Give no fewer than three intervals on which f satises the requirements of Rolle's theorem. Explain why Rolle's theorem is applicable to f on these intervals. c) Find the point guaranteed by the Mean Value Theorem for f on the interval [0, b]