The two parabolas intersect for

and so the base of each solid is the set

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas,  . But since -2 ≤ x ≤ 2, this reduces to
. But since -2 ≤ x ≤ 2, this reduces to  .
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a. Square cross sections will contribute a volume of

where ∆x is the thickness of the section. Then the volume would be

where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

We end up with the same integral as before except for the leading constant:

Using the result of part (a), the volume is

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

and using the result of part (a) again, the volume is

 
        
             
        
        
        
The answer would be A if i am correct can i get most brainliest
        
             
        
        
        
The inverse of this function would be f(x) =  .
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You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) =  - 6 ----> Switch f(x) and x
 - 6 ----> Switch f(x) and x
x =  - 6 ----> Add 6 to both sides
 - 6 ----> Add 6 to both sides
x + 6 =  -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
 -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2
 = f(x) ----> And switch the order for formatting purposes.
 = f(x) ----> And switch the order for formatting purposes.
f(x) = 
And that would be your new inverse function.