Find the average value of the following functions on the given interval. (a) f(x) = cos x; (c) f(x) = x(1 – x); [0,1] (b) f(x) = x'/"; [0,1] for any positive integer n.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Find the average value of the following functions on the given interval.
(a) f(x) = cos x;
(c)
f(x) = x(1 – x); [0,1]
(b) f(x) = x'/"; [0,1] for any positive integer n.
Transcribed Image Text:Find the average value of the following functions on the given interval. (a) f(x) = cos x; (c) f(x) = x(1 – x); [0,1] (b) f(x) = x'/"; [0,1] for any positive integer n.
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