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Solved: Absolute and relative growth rates Two functions f
Chapter 1, Problem 9E(choose chapter or problem)
Absolute and relative growth rates Two functions f and g are given. Show that the growth rate of the linear function is constant and the relative growth rate of the exponential function is constant.
\(f(t)=100+10.5 t, g(t)=100 e^{t / 10}\)
Questions & Answers
QUESTION:
Absolute and relative growth rates Two functions f and g are given. Show that the growth rate of the linear function is constant and the relative growth rate of the exponential function is constant.
\(f(t)=100+10.5 t, g(t)=100 e^{t / 10}\)
ANSWER:Solution 9E Step 1 In this problem we have to show that the growth rate of the linear function is constant and the relative growth rate of the exponential function is constant. Given f(t) = 100 + 10.5t which is linear t/10 And g(t) = 100e which is exponential. To prove: t he growth rate of f(t) = 100 + 10.5t is constant and relative growth rate of g(t) = 100e t/1is constant.