Consider the closed region 

 bounded simultaneously by the paraboloid and plane, jointly denoted 

. By the divergence theorem,

And since we have

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have




Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by 

, we have

Parameterize 

 by


which would give a unit normal vector of 

. However, the divergence theorem requires that the closed surface 

 be oriented with outward-pointing normal vectors, which means we should instead use 

.
Now,



So, the flux over the paraboloid alone is
 
 
        
        
        
There is multiple possibilities:
<span>1050 equals 1 times 1050
1050 equals 2 times 525
1050 equals 3 times 350
1050 equals 5 times 210
1050 equals 6 times 175
1050 equals 7 times 150
1050 equals 10 times 105
1050 equals 14 times 75
1050 equals 15 times 70
1050 equals 21 times 50
1050 equals 25 times 42
1050 equals 30 times 35
1050 equals 35 times 30
1050 equals 42 times 25
1050 equals 50 times 21
1050 equals 70 times 15
1050 equals 75 times 14
1050 equals 105 times 10
1050 equals 150 times 7
1050 equals 175 times 6
1050 equals 210 times 5
1050 equals 350 times 3
1050 equals 525 times 2
1050 equals 1050 times 1</span>
        
                    
             
        
        
        


|x - 5| = 16
x - 5 = +/- 16
x - 5 = 16     or     x - 5 = -16
<u>   +5</u>   <u>+5   </u>           <u>   +5 </u>    <u>+5  </u>
     x = 21       or        x = -11
Answer: x = {21, -11}
 
        
             
        
        
        
Answer:
falseeeeeeeee for sure
Step-by-step explanation:
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