Given:
The sine function is:
![y=\dfrac{1}{3}\sin (2x)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B3%7D%5Csin%20%282x%29)
To find:
The frequency of the graph of given function.
Solution:
If a sine function is defined as:
![y=A\sin(Bx+C)+D](https://tex.z-dn.net/?f=y%3DA%5Csin%28Bx%2BC%29%2BD)
Then, the frequency of the sine function is:
![f=\dfrac{B}{2\pi}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7BB%7D%7B2%5Cpi%7D)
We have,
![y=\dfrac{1}{3}\sin (2x)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B3%7D%5Csin%20%282x%29)
Here,
. So, the frequency of the given function is:
![f=\dfrac{2}{2\pi}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B2%7D%7B2%5Cpi%7D)
![f=\dfrac{1}{\pi}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7B%5Cpi%7D)
Therefore, the correct option is D.
Answer:
54π
Step-by-step explanation:
To find the volume of a cylinder, you multiply the area of the base times the height.
The formula for the area of a circle is πr², so the base is 9π units².
Multiplying that by the height (6 units) gives you 54π units³.
Answer:
-21.6
Step-by-step explanation:
-5.4
x 4 4x 4=16 so you carry the one to 5x4= 20 + 1 that was carried
-------- keep it negative
-21.6
Slope = (6 - 3)/(-2-2)
= 3/-4
= -3/4
answer
slope = -3/4