Let T = 3 2 L as in Exercise 20. The numbers in the second column of Table 4 are
Chapter 2, Problem 36(choose chapter or problem)
Let T = 3 2 L as in Exercise 20. The numbers in the second column of Table 4 are increasing, and those in the last column are decreasing. Explain why in terms of the graph of T as a function of L. Also, explain graphically why the instantaneous rate of change atL = 3 lies between 0.43299 and 0.43303. TABLE 4 Average Rates of Change of T with Respect to L Average rate Average rate Interval of change Interval of change [3, 3.2] 0.42603 [2.8, 3] 0.44048 [3, 3.1] 0.42946 [2.9, 3] 0.43668 [3, 3.001] 0.43298 [2.999, 3] 0.43305 [3, 3.0005] 0.43299 [2.9995, 3] 0.43303
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