Answer:
Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:
where:
a=0
so the volume becomes:
This can be simplified to:
and the integral can be rewritten like this:
which is a standard integral so we solve it to:
![V=9\pi[tan y]\limits^\frac{\pi}{3}_0](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20y%5D%5Climits%5E%5Cfrac%7B%5Cpi%7D%7B3%7D_0)
so we get:
![V=9\pi[tan \frac{\pi}{3} - tan 0]](https://tex.z-dn.net/?f=V%3D9%5Cpi%5Btan%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20-%20tan%200%5D)
which yields:
]
Answer:
96π
Step-by-step explanation:
V=96π
Answer:
The next three terms are 10, 12.5 and 15
Step-by-step explanation:
I. As you can see 5 and 7.5 is came from 5, 5 + 2.5
So given y = 5 + 2.5( x - 1 ) when y is output, x is term
II. Perform x = 3, 4, 5
So y = 5 + 2.5( 3 - 1 )
= 5 + 5
3rd = 10
y = 5 + 2.5( 4 - 1 )
= 5 + 7.5
4th = 12.5
y = 5 + 2.5 (5 - 1)
= 5 + 10
5th = 15
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Answer:
Every gallon costs $4.20
Step-by-step explanation:
If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)
Answer:
Step-by-step explanation:
ABC = Right Angle
EFG = Acute Angle
DEB = Obtuse Angle
DGF = Straight Angle
