The volume generated by rotating the given region  about OC is
 about OC is  
 
<h3>
Washer method</h3>
Because the given region ( ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.
) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.
solution
We first find the value of x and y









![v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }}  ] dy](https://tex.z-dn.net/?f=v%3D%20%5Cpi%20%5Cint%5Climits%5E2_o%3D%20%5B%5Cfrac%7By%5E%7B2%7D%20%7D%7B4%7D%20-%20%5Cfrac%7By%5E%7B8%7D%20%7D%7B2%5E%7B8%7D%20%7D%7D%20%20%5D%20dy)
![v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]](https://tex.z-dn.net/?f=v%3D%20%5Cpi%20%5B%5Cint%5Climits%5E2_o%20%7B%5Cfrac%7By%5E%7B2%7D%20%7D%7B4%7D%20%7D%20%5C%2C%20dy%20-%20%5Cint%5Climits%5E2_o%20%7B%5Cfrac%7By%7D%7B2%5E%7B8%7D%20%7D%20%5E%7B8%7D%20%7D%20%5C%2C%20dy%20%5D)
![v=\pi [\frac{1}{4} \frac{y^{3} }{3}  \int\limits^2_0 - \frac{1}{2^{8} }  \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi](https://tex.z-dn.net/?f=v%3D%5Cpi%20%5B%5Cfrac%7B1%7D%7B4%7D%20%5Cfrac%7By%5E%7B3%7D%20%7D%7B3%7D%20%20%5Cint%5Climits%5E2_0%20-%20%5Cfrac%7B1%7D%7B2%5E%7B8%7D%20%7D%20%20%5Cfrac%7By%5E%7Bg%7D%20%7D%7Bg%7D%20%5Cint%5Climits%5E2_o%5C%5Cv%3D%20%5Cpi%20%5B%5Cfrac%7B1%7D%7B12%7D%20%282%5E%7B3%7D%20-0%29-%5Cfrac%7B1%7D%7B2%5E%7B8%7D%2A9%20%7D%20%282%5E%7Bg%7D%20-0%29%5D%5C%5Cv%3D%20%5Cpi%20%5B%5Cfrac%7B2%7D%7B3%7D%20-%5Cfrac%7B2%7D%7Bg%7D%20%5D%5C%5Cv%3D%20%5Cfrac%7B4%7D%7Bg%7D%20%5Cpi)
A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095
 
        
             
        
        
        
This is a comment---
Are you acually in middle school because this is algebra 2 and im learning this now in High school
 
        
             
        
        
        
A i am sure i hope this helps
        
             
        
        
        
Answer:
Option B, would be the correct answer: 75 labels per minute
Step-by-step explanation:
The number of labels produced per minute would be a constant value which would be the slope of this graph represented above. 
Slope = 
Slope = 
Slope = 75
Hope this helps!
 
        
                    
             
        
        
        
In the first reaction, Gold (Au) gets 3 electrons and became Gold. In the second reaction, Iodine (I) loses 2 electrons and became Iodine.
<h3>What are cations and anions?</h3>
When the atom loses the election then it is called a cation and when it gains the electron is called an anion.
Two reactions are given.
First reaction;
Au³⁺ + 3e⁻ ⇒ Au 
In the first reaction, Gold (Au) gets 3 electrons and became Gold.
Second reaction;
2I⁻ ⇒ I₂ + 2e⁻
In the second reaction, Iodine (I) loses 2 electrons and became Iodine.
More about the cation and the anion link is given below.
brainly.com/question/1659592