Refer to the diagram below
The shape ABCD first is reflected on the mirror line y = x
Then it is reflected again on the y-axis [equation of the line is x = 0]
Answer:
DF=3.75
Step-by-step explanation:
24/6=15/x
cross multiply to get 24x=90
x=3.75
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.
Let's assume initial population is in 1999
so, production of passenger cars in Japan is 3.94 million in 1999
so, P=3.94 million
and the production of passenger cars in Japan is 6.74 million in 2009
so, A=6.74 million in t=2009-1999=10 years
now, we can use formula

here , r is interest rate
so, we can plug values

now, we can solve for


so,
the geometric mean annual percent increase is 5.516%............Answer