Answer: 5:-)
Step-by-step explanation:
5x70=5x7 tens= 35 tens= 350
Answer:
![xe^x+5e^x](https://tex.z-dn.net/?f=xe%5Ex%2B5e%5Ex)
Step-by-step explanation:
We have given integral ![\int (x+6)e^xdx](https://tex.z-dn.net/?f=%5Cint%20%28x%2B6%29e%5Exdx)
![\int (xe^x+6e^x)dx](https://tex.z-dn.net/?f=%5Cint%20%28xe%5Ex%2B6e%5Ex%29dx)
, here
and ![I_2=6e^x](https://tex.z-dn.net/?f=I_2%3D6e%5Ex)
Now first integrate ![I_1](https://tex.z-dn.net/?f=I_1)
So ![I_1=\int xe^x](https://tex.z-dn.net/?f=I_1%3D%5Cint%20xe%5Ex)
Integrating by part
![I_1=x\int e^x-\int e^x\frac{d}{dx}x](https://tex.z-dn.net/?f=I_1%3Dx%5Cint%20e%5Ex-%5Cint%20e%5Ex%5Cfrac%7Bd%7D%7Bdx%7Dx)
![I_1=x e^x- e^x](https://tex.z-dn.net/?f=I_1%3Dx%20e%5Ex-%20e%5Ex)
![I_2=6\int e^x=6e^x](https://tex.z-dn.net/?f=I_2%3D6%5Cint%20e%5Ex%3D6e%5Ex)
So
Answer:
the profit in the case when the shop is closed for 6 hours is $41
Step-by-step explanation:
The computation of the profit in the case when the shop is closed for 6 hours is shown below:
= Expression of the situation × number of hours in which the shop is closed
= 45 - 2 ÷ 3 × 6 hours
= $41
hence, the profit in the case when the shop is closed for 6 hours is $41
Therefore the third option is correct