3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] 2 2 b. f (x) = x²√√√1+x³, [0,2]. c. f (x) = cos x sinx, [0, π]

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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3. Find the average value of the function on the given interval.
a. f (x) = 4x − x², [0,3]
b. f (x) = x²√√1+x³,
[0,2].
c. f (x) = cos¹ x sinx, [0, π]
-x²
[0, 5].
d. f (x) = xe¯
e. f(x) =
|x² − 4], [0,3].
sin x
x² +1'
f. f(x) =
[-π, π].
- 201²
Transcribed Image Text:3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] b. f (x) = x²√√1+x³, [0,2]. c. f (x) = cos¹ x sinx, [0, π] -x² [0, 5]. d. f (x) = xe¯ e. f(x) = |x² − 4], [0,3]. sin x x² +1' f. f(x) = [-π, π]. - 201²
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