What is the amplitude and period of the following function?
1 answer:
Hello!
Amplitude is the maximum displacement on the graph of a function.
Period is the displacement of x at which the graph of a function begins to repeat.
We can find the period of a circular function by using the formula: .
The amplitude is 6 because it causes the displacement of the graph to change. Therefore, the domain becomes -6 ≥ x ≥ 6.
To find the period, we use the formula , and we substitute the values into the equation. The value B, is 1/3.
This can be simplified into 6π.
Since the periodicity is 6π, the graph hits the x-axis at intervals of 3π and -3π, and the graph also hits the x-axis at the origin.
Therefore, the amplitude of the function is 6, the period is 6π, and the function hits the x-axis during intervals of 3π.
You might be interested in
Answer: 500 people
Step-by-step explanation:
Let there are x people in the survey.
According to the question,
People who like football as their favorite sports = 42 % of x = 0.42 x
People who like baseball as their favorite sports = 33 % of x = 0.33 x
People who like soccer as their favorite sports = 25 % of x = 0.25 x
But, 210 people said football was their favorite sport.
⇒ 0.42 x = 210
⇒ 42 x = 21000
⇒ x = 500
Therefore, there are 500 people in the survey.
Answer:
center of mass = ( 1 ,2 )
Step-by-step explanation:
attached below is the detailed solution of the problem
first we have to determine the value of m
M = ∫∫ dA
= 6
Mx = 12
attached solution below
My = 6
hence center of mass of a thin plate
x , y
= My/m , Mx/m
= 6/6 , 12/6
= ( 1, 2 )
