Theory and ExamplesThe arithmetic mean of a and b The

Chapter 4, Problem 58E

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QUESTION:

Problem 58E

Theory and Examples

The arithmetic mean of a and b The arithmetic mean of two numbers a and b is the number Show that the value of c in the conclusion of the Mean Value Theorem for on any interval

Questions & Answers

QUESTION:

Problem 58E

Theory and Examples

The arithmetic mean of a and b The arithmetic mean of two numbers a and b is the number Show that the value of c in the conclusion of the Mean Value Theorem for on any interval

ANSWER:

Solution:

Step 1 of 3:

In this problem, we need to show that the value of c in the conclusion of the mean value theorem for on any  interval  [a,b] is

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