Answer:
Below.
Step-by-step explanation:
This is a square based pyramid.
There are:
5 Faces (one on the base and 4 side faces)
8 edges. ( 4 on base and 4 on side)
5 vertices (4 on the base and one on the top)
Answer:
a
Step-by-step explanation:
It begins at the point (0, -1200). 0 tickets sold, $1200 spent.
$5 for a ticket means that slope =5.
(600, 1800) and (0,-1200)
m= (1800-(-1200))/(600-0)=3000/600=5
slope=5
Answer is a.
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

If I counted correctly, the answer would be 52/150. You just need to simplify the fraction. I'll recount soon, and update if it changes.