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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.6 - Problem 34ae
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.6 - Problem 34ae

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# Means 2 a. Show that the point c guaranteed to exist by ISBN: 9780321570567 2

## Solution for problem 34AE Chapter 4.6

Calculus: Early Transcendentals | 1st Edition

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Problem 34AE

a. Show that the point o guaranteed to exist by the Mean Value Theorem for $$f(x)=x^{2}$$ on [a, b] is the arithmetic mean of a and b; that is, c = (a + b) / 2.

b. Show that the point c guaranteed to exist by the Mean Value Theorem for f(x) = 1/x on [a, b], where 0 < a < b, is the geometric mean of a and b; that is, $$c=\sqrt{a b}$$.

Step-by-Step Solution:

Solution 34AE Step 1 In this problem we have to show that the point cguaranteed to exist by the Mean Value 2 1 Theorem for f(x) = x on [a,b] is arithmetic mean and for f(x) = on [ax b],where 0

Step 2 of 5

Step 3 of 5

## Discover and learn what students are asking

Statistics: Informed Decisions Using Data : Comparing Three or More Means (One-Way Analysis of Variance)
?The variability among the sample means is called ____________ sample variability, and the variability of each sample is the sample variability.

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