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
Keep change flip. You keep the first fraction the same, change the sign to multiplication and flip the second fraction. Example: 3/4 divided by 1/2 would be worked as 3/4 times 2/1
I think the rate is decreasing from:
(-infinity, ln9/3)
53 3/4=53.75
To find out how many 4ft ropes you can make divide 53.75 by 4
53.75/4=13.4375
You can make 13 4ft ropes out of a 53.75ft rope
42 because 42-12=30 hope dis helped my guy
