Counting principle
Multiply 11 * 9 * 3 * 7 = 2079
Answer:
The value of x that gives the maximum transmission is 1/√e ≅0.607
Step-by-step explanation:
Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.

We need to equalize f' to 0
- k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
- 2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
- 2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
- ln(1/x) = x/2x = 1/2 ------- we send the natural logarithm as exp
- 1/x = e^(1/2)
- x = 1/e^(1/2) = 1/√e ≅ 0.607
Thus, the value of x that gives the maximum transmission is 1/√e.
It is already rounded so you wont have to do anything.
Answer:
y=1/2x+5/2
Step-by-step explanation:
4-3=1
3-1=2
m=1/2x
So now you have y=1/2x
Insert into equation
y=1/2x+?
Now sub you slope in to last points, and you get 5/2
So now you final answer is:
y=1/2x+5/2