Substitute the values of f(x), a, and b in the Integral from the previous step, and find the average value of the given function f(x). 4x2 dx =

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...
icon
Related questions
Question
Solve the next step, make sure the answers are clear and each step shows: and I can see it clearly for each box
Find the average value of the function over the glven Interval and all values of x In the Interval for which the function equals its average value.
F(x) = 4x - 3x, (-2, 4]
Step 1
Recall that the average value of a function f(x) over an Interval [a, b] is glven by
1
f(x) dx.
b - a
Here, f(x) = 4x
-2
and b =
Step 2
Substitute the values of (x), a, and b in the Integral from the previous step, and find the average value of the given function f(x).
4x -
Transcribed Image Text:Find the average value of the function over the glven Interval and all values of x In the Interval for which the function equals its average value. F(x) = 4x - 3x, (-2, 4] Step 1 Recall that the average value of a function f(x) over an Interval [a, b] is glven by 1 f(x) dx. b - a Here, f(x) = 4x -2 and b = Step 2 Substitute the values of (x), a, and b in the Integral from the previous step, and find the average value of the given function f(x). 4x -
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax