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.
Answer:
It is C or t < 6
Step-by-step explanation:
The line starts at 6 and goes left. The way I remember which way it goes is the greater than or less than sign looks like the tip to the arrow
< ---- and ---- >
It is an open circle so it will not be a greater than or equal to sign
Answer:
How much would it cost to buy 10 pounds of peanuts?
Answer: $35
What is the cost per pound?
Answer: $3.50
Step-by-step explanation:
So first, to find the anser to the first question, we need to find out the second question. So, what is the cost per pound.
Well if she got 4 pounds for $14, we should try dividing 14 by 4.
14 divided by 4 = 3.5 ($3.50)
So the cost per pound is $3.50
Now to find out how much it costs if Lulu bought 10 pounds, we need to multiply.
10 x 3.5 = 35
So if she bought 10 pounds, she would play $35
Answer:
x = (4r +3)/(r +2)
Step-by-step explanation:
Collect x terms, then divide by the coefficient of x.
x(r +2) = 4r +3
x = (4r +3)/(r +2)
Answer:
H
Step-by-step explanation:
