Figure is shown for graph of y=1.5sin4x
The equation of sin function is given as ![y=Asin(\frac{2\pi}{T} x )](https://tex.z-dn.net/?f=y%3DAsin%28%5Cfrac%7B2%5Cpi%7D%7BT%7D%20x%20%29)
Where A is Amplitude of function and T is Time period
Given sin function is ![y=1.5sin(4x )](https://tex.z-dn.net/?f=y%3D1.5sin%284x%20%29)
A) Compare the amplitude of y=1.5sin(4x) to the amplitude of y=sin x
Ans
In y=sin x, Amplitude is 1 unit
In y=1.5sin4x, Amplitude is 1.5 unit
B) compare the period of y=1.5sin(4x) to the period of y=sinx
In y=sin x, Time period is
![\frac{2\pi}{T} x =x](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7BT%7D%20x%20%3Dx)
T = ![2\pi](https://tex.z-dn.net/?f=2%5Cpi)
In y=1.5sin4x, Time period is
![\frac{2\pi}{T} x =4x](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7BT%7D%20x%20%3D4x)
![T =\frac{2\pi}{4}](https://tex.z-dn.net/?f=T%20%3D%5Cfrac%7B2%5Cpi%7D%7B4%7D)
![T=\frac{\pi}{2}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B%5Cpi%7D%7B2%7D)
C) Plot the graph for 2 period
Shown in figure.
Well 120 is 1/3 of the square so the 9ft is 2/3 of the square so it is B
Answer:
![x=-2 or x=8](https://tex.z-dn.net/?f=x%3D-2%20or%20x%3D8)
Step-by-step explanation:
Let the number be 'x'
Given:
![x^2-16=6x](https://tex.z-dn.net/?f=x%5E2-16%3D6x)
Solving the quadratic equation:
![x^2-6x-16=0](https://tex.z-dn.net/?f=x%5E2-6x-16%3D0)
![x^2+2x-8x-16=0\\](https://tex.z-dn.net/?f=x%5E2%2B2x-8x-16%3D0%5C%5C)
![x^2+2x-8x-16=0\\x(x+2)-8(x+2)=0\\](https://tex.z-dn.net/?f=x%5E2%2B2x-8x-16%3D0%5C%5Cx%28x%2B2%29-8%28x%2B2%29%3D0%5C%5C)
![x(x+2)-8(x+2)=0\\\\(x+2)(x-8)=0\\](https://tex.z-dn.net/?f=x%28x%2B2%29-8%28x%2B2%29%3D0%5C%5C%5C%5C%28x%2B2%29%28x-8%29%3D0%5C%5C)
![(x+2)=0, (x-8)=0](https://tex.z-dn.net/?f=%28x%2B2%29%3D0%2C%20%28x-8%29%3D0)
![x=-2,x=8](https://tex.z-dn.net/?f=x%3D-2%2Cx%3D8)
The value of 'x' can be ![x=-2 or x=8](https://tex.z-dn.net/?f=x%3D-2%20or%20x%3D8)
Answer:
15.5hr
Step-by-step explanation:
Speed = Distance/Time
Given
Distance = 1550ml
Speed = 100ml/hr
Required
Time
From the formula;
Time = Distance/Speed
Time = 1550/100
Time = 15.5hr
Hence it will take 15.5hr
Answer:
They are actually 53.9 miles away.
Step-by-step explanation:
1 in = 15.4 mi
Set up an equation:
Variable x = number of miles
1/15.4 = 3.5/x
Cross multiply:
1 × x = 15.4 × 3.5
x = 53.9