2. (02.02 HC) When food is left out at room temperature for a long period of time, mold begins to grow on it. For 0 s t s 40, the amount of mold on a cherry pie is modeled by the twice-differentiable function C, where C(t) is measured in millimeters and t is measured in days. Values of C(t) at selected values of time t are shown in the table. t (days) 0 10 20 40 C(t) (millimeters) 0.357 1.323 4.906 67.431 Part A: Use the data in the table to approximate C'(15). Show the computation that led to your answer. (10 points) Part B: Using correct units, interpret the meaning of C'(15) in the context of the problem. (10 points) Part C: The amount of mold is also modeled by the twice-differentiable function D for 0 s t s 40, where D(t) is measured in millimeters and time t is measured in days. It is known that D(t) can be modeled by the function D(t) = 0.357(1.14), where D(t) is measured in millimeters and t is measured in days, Using graphing technology, find the value of D'(15). (10 points)