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:
2.2 x10= = 22.2 =22 million.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Mathematically, OPPOSITES are the same distance away from zero, but on opposite sides of zero on the number line. Use the drawing tools to plot a point at the opposite of each colored point. <u>The absolute value of 0 is 0. Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.</u>
Answer:
Jenny cycles the grand distance of 29 and one third of a mile.
Step-by-step explanation:
I want to answer this using fractions and without multiplying by an awkward recurring decimal.
Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes
To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.
22 x (4/3) = 88/3
Jenny will travel 88/3 miles in 2 hours.
Not happy with top heavy fractions?
Let's round up 88/3 to 90/3 by adding 2/3.
90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.
Jenny cycles the grand distance of 29 and one third of a mile.
I think that is the correct answer.
