Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Answer:
A
Step-by-step explanation:
multiply 9 by 12 to get the surface area of the end of the rectangle.
you should get 108.
multiply 12 by 9 to get the surface area of the side.
you should get 135.
multiply 12 by 15 to get the surface area of the bottom.
you should get 180.
then add all your answers and multiply by 2 this will give you the total surface area and you will find that the answer is A.
Hey there! :D
Make an algebraic expression.
Let the 'number' equal x.
4x-24= 60
Add 24 on both sides.
4x= 84
Divide both sides by 4.
x=21
The number is 21.
I hope this helps!
~kaikers
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