Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi
Step-by-step explanation:
1 mile=5280 feet
2 miles=10560 feet
3 miles=15840 feet
3.5 miles=18480 feet
Answer:
<u>1 mile= 5280 feet</u>
3.5 miles= x
5/6 all you do is divide by 5
Answer: the answer is A
Step-by-step explanation:
Answer:
14 is the answer
Step-by-step explanation:
f = 2
e - 2 x 1/2 = e - 1
e = 15
15 - 1 = 14
