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# Absolute and relative growth rates Two functions f and g ISBN: 9780321570567 2

## Solution for problem 10E Chapter 6.8

Calculus: Early Transcendentals | 1st Edition

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Problem 10E

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) = 2200 + 400t, g(t)= 400 · 2t/20

Step-by-Step Solution:

Solution 10E 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) = 2200 + 400t which is linear And g(t) = 400(2 t/2) which is exponential. To prove: t he growth rate of f(t) = 2200 + 400t is constant and relative growth rate of t/20 g(t) = 400(2 )is constant. Step 2 Consider f(t) = 2200 + 400t The growth rate of f(t)is given by df d dt= (dt00+400t) = 400 Thus df= 400which is a constant. dt Hence growth rate of f(t) = 2200 + 400t is constant.

Step 3 of 3

##### ISBN: 9780321570567

The answer to “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) = 2200 + 400t, g(t)= 400 · 2t/20” is broken down into a number of easy to follow steps, and 42 words. This full solution covers the following key subjects: growth, relative, constant, function, rate. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 10E from chapter: 6.8 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 10E from 6.8 chapter was answered, more than 434 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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