21-30. Average values Find the average value of the following func- tions on the given interval. Draw a graph of the function and indicate the average value. 21. f(x) = x³ on [-1,1] 22. f(x) = x² + 1 on [-2, 2] 1 23. f(x) · = 2on [–1, 1] 24. f(x) = cos 2x on [-7. ] x? + 1 25. f(x) — 1/x on [1, e] 26. f(x) = e2* on [0, In 2] 27. f(x) = cos x on [-5, ) 28. f(x) — x(1 - х) on [0, 1] 29. f(x) = x" on [0, 1], for any positive integer n %3D 30. f(x) = x/" on [0, 1], for any positive integer n

Calculus: Early Transcendentals
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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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21-30. Average values Find the average value of the following func-
tions on the given interval. Draw a graph of the function and indicate
the average value.
21. f(x) = x³ on [-1,1]
22. f(x) = x² + 1 on [-2, 2]
1
23. f(x) ·
= 2on [–1, 1] 24. f(x) = cos 2x on [-7. ]
x? + 1
25. f(x) —
1/x on [1, e]
26. f(x) = e2* on [0, In 2]
27. f(x) = cos x on [-5, )
28. f(x) — x(1 - х) on [0, 1]
29. f(x) = x" on [0, 1], for any positive integer n
%3D
30. f(x) = x/" on [0, 1], for any positive integer n
Transcribed Image Text:21-30. Average values Find the average value of the following func- tions on the given interval. Draw a graph of the function and indicate the average value. 21. f(x) = x³ on [-1,1] 22. f(x) = x² + 1 on [-2, 2] 1 23. f(x) · = 2on [–1, 1] 24. f(x) = cos 2x on [-7. ] x? + 1 25. f(x) — 1/x on [1, e] 26. f(x) = e2* on [0, In 2] 27. f(x) = cos x on [-5, ) 28. f(x) — x(1 - х) on [0, 1] 29. f(x) = x" on [0, 1], for any positive integer n %3D 30. f(x) = x/" on [0, 1], for any positive integer n
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