ind the average value of the function over the glven Interval and all values of x In the Interval for which the fundtion equals Its average value. (x) = 4x - 3x, [-2, 4]
ind the average value of the function over the glven Interval and all values of x In the Interval for which the fundtion equals Its average value. (x) = 4x - 3x, [-2, 4]
Chapter2: Functions And Their Graphs
Section: Chapter Questions
Problem 8PS
Related questions
Question
Please solve for step 3, disregard the answers in the boxes: all steps for step 3 should be solved ( all boxes), thanks!!!
![Tutorial Exercise
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 (x) over an Interval [a, b] Is glven by
1
f(x) dx.
b - a
Here, f(x) = 4x
and b =
-2
Step 2
Substitute the values of f(x), a, and b In the Integral from the prevlous step, and find the average value of the glven function f(x).
dx =
4- (-2)
4
Step 3
Apply the Fundamental Theorem of Calculus, which states that,
m dx = F(b) - Flo).
Apply the limits on the right side of the equation obtained in the previous step to evaluate the definite Integral.
- 64) - (64
168
6.
28](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc366fd3b-620f-474a-a6bd-a20dc9199f80%2F510f56a8-ee3c-43bb-bb18-d97b82bc2b49%2Fhh35z0s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tutorial Exercise
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 (x) over an Interval [a, b] Is glven by
1
f(x) dx.
b - a
Here, f(x) = 4x
and b =
-2
Step 2
Substitute the values of f(x), a, and b In the Integral from the prevlous step, and find the average value of the glven function f(x).
dx =
4- (-2)
4
Step 3
Apply the Fundamental Theorem of Calculus, which states that,
m dx = F(b) - Flo).
Apply the limits on the right side of the equation obtained in the previous step to evaluate the definite Integral.
- 64) - (64
168
6.
28
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
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
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
