Explanation The average of n numbers x 1 , x 2 , ... , x n is determined by the averaging method mean using the formula as follows: ∑ i = 1 n x i n = x 1 + x 2 + ... + x n n Similarly, the average value of a function f defined on the interval [ a , b ] is determined by dividing the interval into n subintervals of length Δ x , where Δ x =

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ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 8.CR, Problem 13CR

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The average value of a function with finding the average of n numbers.

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Calculus For The Life Sciences

Ch. 8.1 - YOUR TURN Use the trapezoidal rule with n=4 to...Ch. 8.1 - Prob. 2YT Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

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To compare: The average value of a function with finding the average of n numbers.

Solution Summary: The author compares the average value of a function with finding its n-numbers. The average of the function f defined on the interval left[a,bright] is determined by dividing