a) Complete the following statement of the Mean Value Theorem by selecting options from the drop-down menus.. Suppose that f is continuous on [a, b] and differentiable on (a, b). Then there is at least one real number c in (a, b) such that f (b) - f(a) f' (c ) b - a b) Define g : R - R by g(t) = -3 if t 4 and let G(x) = 9(t) at for every x E R . Find an expression for G (a). When x 2 4 , G (a) = (use Maple syntax) When x