the average value of linear function.
Answer to Problem 44E
The average value of the linear function is
Explanation of Solution
Given information:
Formula used:
Calculation:
Assume a linear function
If f is integrated on [a, b], its average (mean) value on [a, b] is
So,
Now, calculate the integral
Since
That is,
Since,
Where F is any anti-derivative of f
So,
Now,
Since,
So,
Add both equations
So,
Conclusion:
The average value of the linear function is
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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