Explain why or why not Determine whether the

Chapter 6, Problem 31

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Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. A quantity that increases at 6%>yr obeys the growth function y1t2 = y0e0.06t. b. If a quantity increases by 10%>yr, it increases by 30% over 3 years. c. A quantity decreases by one-third every month. Therefore, it decreases exponentially. d. If the rate constant of an exponential growth function is increased, its doubling time is decreased. e. If a quantity increases exponentially, the time required to increase by a factor of 10 remains constant for all time.

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