All categories

3 years ago

PLEASE HELP NOW 25pts!! O 60x10

Mathematics

1 answer:

alex41 [277]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Change 6.00pm to 24 hours clock time<br><br>use a colon <br><br>

kkurt [141]

Answer:

Step-by-step explanation:

6:00 PM equals 18:00 in 24 hrs clock time.

<h3>Hope it helps you.. </h3>

3 0

3 years ago

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal compu

Aleks04 [339]

This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780 divide both sides by 20 and you get x=39. the answer is 39

5 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2

Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

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

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

and it follows that

$\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}$

7 0

2 years ago

Solve 10x-3=6x+85 give a reason to justify each statement

siniylev [52]

6 0

3 years ago

Read 2 more answers

I need help with question #2

skelet666 [1.2K]

That is so confusing the way theyou word it sometimes is like what the...what?

7 0

3 years ago