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
200,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000+1
Masja [62]
Answer:
200,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,001
Step-by-step explanation:
Answer:
Y=15x
Step-by-step explanation:
<h2>Okay so let's approach this problem!</h2><h2 />
X is books and Y is total cost
Let's find the slope!
Y2-Y1/ X2-X1
Just replace
![\frac{150 - 90}{10 - 6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B150%20-%2090%7D%7B10%20-%206%7D%20)
![\frac{60}{4} = 15](https://tex.z-dn.net/?f=%20%5Cfrac%7B60%7D%7B4%7D%20%20%3D%2015)
The slope is 15
![y = 15x + b](https://tex.z-dn.net/?f=y%20%3D%2015x%20%2B%20b%20)
Now replace x and y with coordinates and solve
![150 = 15(10) + b \\ 150 = 150 + b \\ - 150 \\ 0 = b](https://tex.z-dn.net/?f=150%20%3D%2015%2810%29%20%2B%20b%20%5C%5C%20150%20%3D%20150%20%2B%20b%20%5C%5C%20%20-%20150%20%5C%5C%200%20%3D%20b)
The final equation:
y = 15x
That's it! If you have any questions please ask! Brainliest Appreciated.
<span>Length = l</span>
<span>
Width = w</span>
<span>
Perimeter = p = 100
</span>
<span>Perimeter of rectangle = 2(l+w)</span>
<span>
100 = 2 (4w + w)</span>
<span>
100 = 2(5w)</span>
<span>
100 = 10w</span>
<span>
100/10 = w</span>
<span>
10 = w</span>
<span>
w = 10
Area of rectangle = length * width</span>
<span>
a = l*w</span>
<span>
a = 4w*w</span>
<span>
a = 4w^2............(1)</span>
<span>
Put the value of w in (1)</span>
<span>
a = 4(10)^2</span>
<span>
a= 4(100)</span>
<span>
a = 400 yd^2</span>