Replace x with π/2 - x to get the equivalent integral
but the integrand is even, so this is really just
Substitute x = 1/2 arccot(u/2), which transforms the integral to
There are lots of ways to compute this. What I did was to consider the complex contour integral
where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be
which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit
and it follows that
Answer:
5
Step-by-step explanation:
1 ounce = 0.0625
0.0625 x 80 = 5
I don't know what the relation in your problem is, but I'll just explain this using my own example.
Let's use the following relation as the example (pretend it's a table of values):
x | y
0 | 1
2 | 4
4 | 7
6 | 10
To write the relation as ordered pairs, you need the x and y values from the table. An ordered pair is written like this: (x,y).
Based off of this explanation, the ordered pairs from this example would be:
(0,1) (2,4) (4,7) (6,10)
Answer:
t=5/10n
Step-by-step explanation:
The question wants to know how much time it takes to run one lap, not how many laps can be run in a certain amount of time.
The letter C, because the pattern is this (I think):
Every two letters it states the vowels (a,e,i,o,u)
Then in between every two letters there starts a pattern of, saying the alphabet in order and saying the alphabet backwards.
In other words they merged these two lines:
A, B, C, D, E...
+
Z, Y, X, W, V...
=
A, Z, B, Y, C, X...etc.
then by adding this pattern of vowels you get:
A, Z, E, B, I, Y, O, (C), (U), (X)...
