Figure 2.12 shows the cost, y = f(x), of manufacturing x kilograms of a chemical. (a) Is

Chapter 2, Problem 5

(choose chapter or problem)

Figure 2.12 shows the cost, y = f(x), of manufacturing x kilograms of a chemical. (a) Is the average rate of change of the cost greater between x = 0 and x = 3, or between x = 3 and x = 5? Explain your answer graphically. (b) Is the instantaneous rate of change of the cost of producing x kilograms greater at x = 1 or at x = 4? Explain your answer graphically. (c) What are the units of these rates of change?

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