Math B Assignment

Math B Assignment
Student’s name: Michael Kong
Teacher’s name: Mr. Gallagher
Draft date: 7/3/2019

Task 1:
Given equation:
Y=AsinBx
Determine A:
A=amplitude is 1.
In the sine graph the amplitude cannot be greater than 1 or less than 1.
Therefore, the amplitude in this graph is 1.
Meaning that A in sin graph equal to 1.
A=1
Determine B
B= 2 π
T when T is period
And T=30
Therefore, B=0.209439510239
Domain
From birth date to first day march (1/3/2019) there are 6,957days
From birth date to last day march (1/3/2019) there are 6,987days
Therefore, the domain of the graph is between 6957 ≤ x ≤ 6987
Range
In this sine graph, the maximum and minimum values are ±1
Therefore, the range is −1 ≤Y ≤ 1
Functions
Because the cycle has a period of 30
y=sin ¿) Domain = 6957 ≤ x ≤ 6987
The graph of y=sin ¿)

Task1(K1,M2)
y= AsinBx
Determine A:
A=amplitude is 1.
In the sine graph, the amplitude cannot be greater than 1 or less than 1.
Hence, the amplitude in this graph is 1.
This means that A in sine graph equal to 1.
A=1
Determine B
T is the period of the cycle
And it given as B= 2 π
T when T is period
But T=23
Therefore B= 0.273181969877
Domain
There are 6569 days since the first day of my birthday to the first day of
March 2019
Also, there are 6599 days since my birthday to the last day of March2019.
Therefore, the domain of the graph is between 6569 ≤ x ≤6599
Range
The range of the graph of sine is −1 ≤Y ≤ 1
Function
Since the physical cycle has a period of 23 days.
Then the function y 1=sin ¿), Domain 6569 ≤ x ≤6599
Therefore, the graph of y=sin ¿)

The emotional cycle has a period of 28 days.
Y=AsinBx
The Amplitude A
In the sine graph, the amplitude of the sine graph cannot be greater than
1 or less than 1.
Therefore, the amplitude of the sine graph is 1
Hence, A=1 unit.
y2 = sin ¿)
To determine B
Given that T is the period of the cycle, and B is given by the formula 2 π
T
Then B= 2 π
T
But, here T is given to be 28.
Now substituting the value 28 in T, we have B= 2 π
28
Therefore, B=0.224399475
To determine the Domain
Since there are 6569 days from my birthday to the first day of the March
2019
And also 6599 days since my birthday to the last day of March 2019.