"Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number 1 m(f:a,b) = f(x)dx %3D b According the above definition calculate the mean value of the continuous function f(x) = {2, s2x, 0sx<1 15xs2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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12. “Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number
1
m(f:a,b) =
f(x)dx
b-
According the above definition calculate the mean value of the continuous function
{2x, 0<x<1
12,
f(x) =
1<x<2
Over [0,2].
Transcribed Image Text:12. “Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number 1 m(f:a,b) = f(x)dx b- According the above definition calculate the mean value of the continuous function {2x, 0<x<1 12, f(x) = 1<x<2 Over [0,2].
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