Answer:
No, the student's work is not correct.
Step-by-step explanation:
Given : Student expanded an expression, as shown.
To find : Is the student's work correct?
Solution :
The expansion of student is not correct.
Follow the below steps to get correct solution and student mistake,
Step 1 - Write the expression,
Step 2 - Apply distributive property,
Step 3 - Solve,
The student was mistaken in step 2 in solving the sign.
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
Thus, the value of x that gives the maximum transmission is 1/√e.