Answer: Do you know the values of u and v?
Step-by-step explanation:
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:
13 miles
Step-by-step explanation:
27.50- 1.50(fee)=26.00 26/2(2$per mile)=13 miles
Answer:
x = 4
Step-by-step explanation:
3x -5 = -2 + 9
-2 + 9 = 7 so now its 3x - 5 = 7
add 5 to the -5 so it cancels itself out. then add the 5 to 7 so it become 12. the you have 3x = 12
divide 12 ÷ 3 = 4
x = 4
Answer:
5.1 centimeters (5.08 not rounded)
Step-by-step explanation:
1 inch=2.54 centimeters
2.54*2=5.08