Continuing from the setup in the question linked above (and using the same symbols/variables), we have
The next part of the question asks to maximize this result - our target function which we'll call
- subject to
.
We can see that
is quadratic in
, so let's complete the square.
Since
are non-negative, it stands to reason that the total product will be maximized if
vanishes because
is a parabola with its vertex (a maximum) at (5, 25). Setting
, it's clear that the maximum of
will then be attained when
are largest, so the largest flux will be attained at
, which gives a flux of 10,800.
Answer:
3.14 square units
Step-by-step explanation:
Circumference of a circle = 2πr
2πr = 6.28
r = 6.28/2π
r = 3.142/π
Area of a circle = πr^2
slot in the value of r
Area of the circle = π( 3.142/π)^2
" = π(9.87/ π^2)
" = 9.87/π
π = 3.14
Area of a circle = 9.867/ (3.14)
" = 3.14 square units
The answer is B.) -2, hope it helps
Answer:
10
Step-by-step explanation:
523=4/3 pi r^3
124.86=r^3
5=r
d=2r
d=10
Answer:
a: We can't determine this from the given information
b: 98%
Step-by-step explanation:
For a:
n = 42
The confidence interval has equal time on each side of µ, so we can add the two end points and divide them by 2 to find the middle of the interaval:
7.4 + 8.6 = 16
16/2 = 8
Now subtract 7.4 from 8 to find the distance from the mean to the end of the interval
8 - 7.4 = 0.6
So the sample mean, plus the calculated error was 0.6 minutes.
We don't have a way of calculating the sample mean with the given information. We could only find the sample standard deviation and the variance.
For b:
We have:
E = 0.6
s = 1.606
n = 42
See attached photo for the calculation of this value
The value is 2.421.
Using a sample size of 42, our degrees of freedom are 41. Use the t-distribution chart to see which level of confidence has 2.421 under it.
The level of confidence is: 98%
We need 41 degrees of freedom, but the chart has only 40, then 45. We can see that 40 has 2.423, and the values go down as the degrees of freedom go up, so 41 will correlate to 2.421
