Average value ( k ) of
Answer to Problem 52E
Average value:
Explanation of Solution
Given information:
Such that
And
And
Formula for average value of a function:
Substitute
And
And
Simplify and isolate the integral:
That becomes
Use power rule to evaluate the integral and substitute in the bounds:
Since k represents some value of x ,
The equation of x becomes
Now,
We are required to find the solution to this equation by graphing
And
And find the intersection point.
Thus,
The two curves intersect at
And
Hence,
Since
Then
Now,
Check the average value of
With
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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