Answer:
ok what do u want me to find sir.
Step-by-step explanation:
explain and i will answer.
Answer:
C is your answer good sir
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,
Answer:
4171/5000
Step-by-step explanation:
When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.