Answer:
Step-by-step explanation:
If I read this correctly...
5 1/5^3= 5.20^3=140.608
5(5)^3=625
If this isn't the correct problems, sorry. it was kind of hard to decipher the last one.
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

Keep in mind both the distance and time of the scenarios. The faster and more distance travelled = a higher gradient for the line. If he slows, the gradient decreases. If he stops, the line is flat but time still goes on.
Answer:
Question (A) firgue b is pallorgram
Question ( B) Only A is a rentengle
Question (C) is already right
Step-by-step explanation:
The answer would be 8. hope this helps