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
Answer:
14
Step-by-step explanation:
This is a division problem.
We want to find how many 1/3 liters are in 4⅔ liters.
We divide to obtain:
Or
Convert to improper fraction.
This simplifies to
Therefore there are fourteen ⅓ liters in 4⅔ liters
Answer:
100+x
Step-by-step explanation:
Peter starts out with 100 dollars and then gets X more meaning we have to add X to what he originally had and that looks like this 100+x
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:The number of dollars that he will receive if he exchanged 42.7 pesos is $2.3058
Step-by-step explanation:
The current exchange rate is
1 peso = 0.054 dollars.
After a trip to Mexico, Jose converted all his pesos back to dollars. The number of dollars that he will receive if he exchanged 42.7 pesos would be 42.7×0.054 = $2.3058
