Answer: 6x + 14
Step-by-step explanation:
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:
]
= 3 × 10-11
(scientific notation)
= 3e-11
(scientific e notation)
= 30 × 10-^12
(engineering notation)
(trillionth; prefix pico- (p))
= 0.0000000000
<span>(real number)</span>
Answer:
Problem 13: yes
Problem 14: no
Step-by-step explanation:
Problem 13:
Plug the values of x and y to solve.
-23 = -7(5) + 12
-23 = -35 + 12
-23 = -23
The values are equal, so the coordinates <u>do</u> solve the equation. It's a yes.
-----------------------------------------------------------------------
Problem 14:
Plug the values of x and y to solve.
-9 = -7(-3) + 12
-9 = 21 + 12
-9 = 33
The values are not equal, so the coordinates <u>do not</u> solve the equation. It's a no.
hope this helps :)
