Exercises 43 and 44 provide some simple examples of an
Chapter 5, Problem 44(choose chapter or problem)
Exercises 43 and 44 provide some simple examples of an important idea that was presented in the chapter introduction: Exponential growth eventually outpaces polynomial growth (no matter how high the degree of the polynomial). In each case, carry out the calculations needed to verify the given statementLet g(x) x4 and h(x) 3x.(a) On the interval [0, 5], the average rate of change of gis more than two and one-half times the average rateof change of h. On the interval [5, 10], however, theaverage rate of change of h is more than six times thatfor g.(b) On the interval [10, 15] the average rate of change ofthe exponential function is more than 350 times thatof the polynomial function.
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