Mean Value Theorem. Hot water is dripping through a coffeemaker, filling a large cup with coffee. The amount of coffee in the cup at time t is given by a differentiable function C, where t is measured in minutes. Selected values of C(t) are given in the table below. Based on this information, is there a time t, 2 <= t <= 4, such that C'(t) = 2? Explain. t ( m i n u t e s ) 0 1 2 3 4 5 6 C ( t ) ( o u n c e s ) 0 5.3 8.8 11.2 12.8 13.8 14.5