A common sinusoidal function is:
![y = asin(bx)](https://tex.z-dn.net/?f=y%20%3D%20asin%28bx%29)
so,always amplitude is a, so a=6
and we know period is:
![p = \frac{ |b| }{2\pi}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B%20%7Cb%7C%20%7D%7B2%5Cpi%7D%20)
so
![\frac{ |b| }{2\pi} = \frac{2\pi}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Cb%7C%20%7D%7B2%5Cpi%7D%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20)
![b = + or - \frac{4 {\pi}^{2} }{3}](https://tex.z-dn.net/?f=b%20%3D%20%2B%20or%20-%20%5Cfrac%7B4%20%7B%5Cpi%7D%5E%7B2%7D%20%7D%7B3%7D%20)
and we have 2 equations that while we can consider which is appropriate ,to have its graph!
![6 \sin( \frac{4 {\pi}^{2} }{3}x )](https://tex.z-dn.net/?f=6%20%5Csin%28%20%5Cfrac%7B4%20%7B%5Cpi%7D%5E%7B2%7D%20%7D%7B3%7Dx%20%29%20)
and when you want to shift it 1 unit left we have:
Answer:
![\mathrm{A. \:756\:in^3}](https://tex.z-dn.net/?f=%5Cmathrm%7BA.%20%5C%3A756%5C%3Ain%5E3%7D)
Step-by-step explanation:
The volume of a rectangular prism can be represented by
. The dimensions of this prism are 6x9x14.
Therefore the volume of this prism is:
.
Answer:
$0.25+$0.05+$0.03=$0.33
$0.33•6=$1.98
$1.98+$4.87=$6.85
Step-by-step explanation:
Question 1: Answer D - 4th degree trinomial
Question 2: Answer D - IV, I, II, III