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Simplifying
5y + -2 = 4y + 7
Reorder the terms:
-2 + 5y = 4y + 7
Reorder the terms:
-2 + 5y = 7 + 4y
Solving
-2 + 5y = 7 + 4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y' to each side of the equation.
-2 + 5y + -4y = 7 + 4y + -4y
Combine like terms: 5y + -4y = 1y
-2 + 1y = 7 + 4y + -4y
Combine like terms: 4y + -4y = 0
-2 + 1y = 7 + 0
-2 + 1y = 7
Add '2' to each side of the equation.
-2 + 2 + 1y = 7 + 2
Combine like terms: -2 + 2 = 0
0 + 1y = 7 + 2
1y = 7 + 2
Combine like terms: 7 + 2 = 9
1y = 9
Divide each side by '1'.
y = 9
Simplifying
y = 9
Answer:
Step-by-step explanation:
Here the region between two curves is rotated about a vertical line.
The functions are
![y = sin^2x, \\y = sin^4x, \\x in [0,[pi]/2].](https://tex.z-dn.net/?f=y%20%3D%20sin%5E2x%2C%20%5C%5Cy%20%3D%20sin%5E4x%2C%20%5C%5Cx%20in%20%5B0%2C%5Bpi%5D%2F2%5D.)
Intersecting points are x=0 and x =pi/2
Since rotated about x = pi/2 we get
using cylindrical shell method
Volume = 
From wolfram alpha we find that
Volume= 
Step-by-step explanation:
x=54
use pyth then the other line = 15
then 15÷90 = 9÷x
then x = 54
See the solution in the pdf file attached. Please, let me know if it is satisfactory for you.