Apply l'Hopital's rule:
where
![\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cint_%5Cpi%5Ex%281%2B%5Ctan%28t%29%29%5C%2C%5Cmathrm%20dt%5Cright%5D%3D1%2B%5Ctan%28x%29)
follows from the fundamental theorem of calculus.
Answer:
$100
Step-by-step explanation:
Every week Amanda adds $5 and every week Julia adds $14. So all you have ti do is add $5 to Amanda's account and $14 to Julia's account until you have the same amount of money for the both of them.
-37 = <u>n
</u> 23
<u>
</u>to solve for n, undo what is happening to the n. if the n is being divided by 23 to get -37, then multiply both sides by 23 to figure out what n is.
<u>
</u>-37 * 23 = <u>n * 23
</u> 23
<u>
</u>-851 = n
Answer:
< A = 148°
Step-by-step explanation:
<A = <B → 6x - 2° = 4x + 48° → 2x = 50° → x = 25°
<A = 6(25°) - 2° = 150° - 2° = 148°
Answer:
$1323.00
Step-by-step explanation:
A simple equation that can be used to figure this out is:
p*1.5*o=t
The variables mean:
p- hourly pay
o- hours worked overtime
t- total amount of money earned.
(Also, the 1.5 is always used to calculate overtime, no matter what job, unless otherwise specified, and as referred in the problem as "time and a half").
So, to finally work out this problem:
($14*1.5)*63=?
first, (14*1.5)= $21
($21*63)= $1323.
