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:
Option A: -12x-8=10 is the correct answer.
Step-by-step explanation:
Given equation is:
-4 (3x+2) = 10
We will distribute the equation by multiplying the terms inside the brackets with -4.
Therefore,
-4*3x + 2*-4 = 10
-12x +(-8) = 10
-12x - 8 = 10
The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.
Hence,
Option A: -12x-8=10 is the correct answer.
I believe its 31/100! <span>To write 0.3111 as a fraction you have to write 0.3111 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.</span>
Answer:
i don't understand anything what grade are you in
Step-by-step explanation: