![\ln(4x+y)=2x-3](https://tex.z-dn.net/?f=%5Cln%284x%2By%29%3D2x-3)
Differentiate both sides wrt
:
![\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%28%5Cln%284x%2By%29%29%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac%7B%5Cmathrm%20d%282x-3%29%7D%7B%5Cmathrm%20dx%7D)
By the chain rule, we get
![\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2](https://tex.z-dn.net/?f=%5Cdfrac1%7B4x%2By%7D%5Cdfrac%7B%5Cmathrm%20d%284x%2By%29%7D%7B%5Cmathrm%20dx%7D%3D2)
![\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B4%2B%5Cfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%7D%7B4x%2By%7D%3D2)
Solve for
:
![4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y](https://tex.z-dn.net/?f=4%2B%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D8x%2B2y)
![\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D8x%2B2y-4%7D)
B
they have limited (3) common points where the planes meet.
Answer:
Step-by-step explanation:
Five equivalent ratios:
7:8 = 14:16
= 21:24
= 70:80
= 49:56
= 35:40
1620 because 5832 is 18 to the 3rd power which means that because it is a cube 18 to the second power will be able to find the base which 324 ft^2, multiplying that by 5 dollar gets 1,620 dollars
68 is the number you are looking for.
Hoped I helped!