Answer:
1
Step-by-step explanation:
Multiply -4 with 2x and -7
Then collect like terms
Divide both sides by the co-efficient of x
Difference Of Two Squares
<span>a^2 - b^2 = a^2 - b^2
</span><span>so
x^2-64
=x^2 - 8^2
= (x + 8)(x - 8)</span>
98% are located each day for a total of 24,500 pieces of found luggage, but lost each day would be 500 pieces of luggage.
Answer:
72 cm^3
Step-by-step explanation:
find the volume of the big block and the volumem of the smaller block and subtract it
(8 x 2 x 5) - (2 x 2 x2)
= 80 cm^3 - 8 cm^3
= 72cm^3
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:
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