Answer:
Not a function
Step-by-step explanation:
Not a function because -2 in Set A has 2 different possible answers in Set B
However the
![x_i](https://tex.z-dn.net/?f=x_i)
are chosen, the sum is equivalent to the definite integral,
![\displaystyle\lim_{n\to\infty}\sum_{i=1}^n x_i\cos x_i\Delta x=\int_0^{2\pi}x\cos x\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7D%5Csum_%7Bi%3D1%7D%5En%20x_i%5Ccos%20x_i%5CDelta%20x%3D%5Cint_0%5E%7B2%5Cpi%7Dx%5Ccos%20x%5C%2C%5Cmathrm%20dx)
which can be computed via integration by parts. If
![u=x](https://tex.z-dn.net/?f=u%3Dx)
and
![\mathrm dv=\cos x\,\mathrm dx](https://tex.z-dn.net/?f=%5Cmathrm%20dv%3D%5Ccos%20x%5C%2C%5Cmathrm%20dx)
, you have
![\displaystyle\int_0^{2\pi}x\cos x\,\mathrm dx=[uv]_0^{2\pi}-\int_0^{2\pi}v\,\mathrm du](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5E%7B2%5Cpi%7Dx%5Ccos%20x%5C%2C%5Cmathrm%20dx%3D%5Buv%5D_0%5E%7B2%5Cpi%7D-%5Cint_0%5E%7B2%5Cpi%7Dv%5C%2C%5Cmathrm%20du)
or equivalently,
-3(x-4) > 6(x-1)
-3x +12 > 6x -6
12+6 > 6x+3x
18 > 9x
x < 18/9
x < 2 so from this result the solution set for this inequality dont includes 3 as an element
Answer:
$776.96
Step-by-step explanation:
The computation of the average daily balance for August is shown below:
Particulars Days Days end balance Total balance
for the period
(A) (B) (A × B)
Aug 1 to Aug 9 9 $728.15 $6,533.35
Aug 10 to Aug 14 5 $864.15 $4,321.70
($728.15 + $136.19)
Aug 15 to Aug 22 8 $572.34 $4,578.72
($864.15 - $136.19)
Aug 23 to Aug 31 9 $959.12 $8,632.08
($572.34 + $386.78)
Total 31 $24,085.85
Now the average daily balance is
= $24,085.85 ÷ 31 days
= $776.96
133
Solution
x2 -3xy
=(-7)2- 3x(-7) x 4
=49 + 21 x 4
=49 + 84
=133
Note: I put 2 instead of the “mini 2” or squared cuz I cant copy and paste it lol