We need to calculate the period of the function
![y=tan(\frac{\pi}{4}(x-\frac{\pi}{3}))](https://tex.z-dn.net/?f=y%3Dtan%28%5Cfrac%7B%5Cpi%7D%7B4%7D%28x-%5Cfrac%7B%5Cpi%7D%7B3%7D%29%29)
Periodicity of a general function is given as follows:
Now, periodicity of
is
.
Now,
Periodicity of the function:
is given by:
![y=tan(\frac{\pi}{4}(x-\frac{\pi}{3}))=tan (\frac{\pi}{4}x-\frac{\pi^2}{12})](https://tex.z-dn.net/?f=y%3Dtan%28%5Cfrac%7B%5Cpi%7D%7B4%7D%28x-%5Cfrac%7B%5Cpi%7D%7B3%7D%29%29%3Dtan%20%28%5Cfrac%7B%5Cpi%7D%7B4%7Dx-%5Cfrac%7B%5Cpi%5E2%7D%7B12%7D%29)
here, ![b=\frac{\pi}{4}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B%5Cpi%7D%7B4%7D)
![\frac{\pi}{|\frac{\pi}{4} |} =\frac{4 \times \pi}{4} =\pi](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B%7C%5Cfrac%7B%5Cpi%7D%7B4%7D%20%7C%7D%20%3D%5Cfrac%7B4%20%5Ctimes%20%5Cpi%7D%7B4%7D%20%3D%5Cpi)
Therefore, the period of the function is 4.
Answer:
defined
Step-by-step explanation:
(t-1)(t+1) = t^2-1 through the difference of squares rule
So,
(t-1)(t+1)(t^2+1)
(t^2-1)(t^2+1)
(x-1)(x+1) ... let x = t^2
x^2-1 .... another application of the difference of squares rule
(t^2)^2 - 1... plug in x = t^2
t^4 - 1
The maximum number of palettes that the elevator can carry in one trip is 5.
425 times 5= 2,125+ 195= 2,320
Hope this helps!! :-)
Answer:
x<-3
Step-by-step explanation:
(x+5<2)
Subtract 5 from both sides;
x+5-5<2-5
Simplify;
x<-3
Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!