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
.
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

Answer:
You already made an acc-
Step-by-step explanation:
Wdym?
32 is the answer to the problem
answer: y= 2x^2+2x-4
steps:
y= (2x+4)(x-1)
*FOIL method* y= (2x^2-2x+4x-4)
*simplify* y= 2x^2+2x-4
Ten thousand - 10,000
thousand literally just haves 1,000
if the twenty is before the three zeros, it would be 20,000 which is twenty thousand. its the same with other numbers. its super simple!