Answer:
Step-by-step explanation:
We are given that a function
We have to find the average value of function on the given interval [1,e]
Average value of function on interval [a,b] is given by
Using the formula
By Parts integration formula
u=ln x and v=dx
Apply by parts integration
![f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28%5Bxlnx%5D%5E%7Be%7D_%7B1%7D-%5Cint_%7B1%7D%5E%7Be%7D%28%5Cfrac%7B1%7D%7Bx%7D%5Ctimes%20xdx%29%29)
![f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28elne-ln1-%5Bx%5D%5E%7Be%7D_%7B1%7D%29)
By using property lne=1,ln 1=0
Answer:
B.
Step-by-step explanation:
90 - (90 × .7) = $27
hope this helps
Itself should go in the blank
Essentially, we are trying to find the missing constant term of 
(remember that we are subtracting 
due to the negative sign in front of the second term). Let's expand this to see what we can work with:
Now, we know the second term is 
, so let's set the second term in the polynomial we just found equal to :
- Divide both sides of the equation by
- Divide both sides of the equation by 2
We have found . We know the missing constant term is 
, according to the polynomial we found earlier. Thus, the missing term is:
The missing constant term is 36.
