Answer:
Step-by-step explanation:
Answer:
The equation of the displacement 
as a function of time 
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple 
or 
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time </em> - <em>
is amplitude </em> - <em>
is the natural frequency of oscillation (
)</em> - <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) = 
- The natural frequency () and time period () is :
∴
= 
∴
the equation :
<em>⇒
</em> ------1
since 
when 
,
<em>⇒
------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , 
must be negative or c must be an odd multiple of 
.</u>
<em>⇒ 
------3</em>
where k is also an integer ;
the least value of 
;
thus ,
the equation is :
<em></em>
Answer:
12s - 16t
Step-by-step explanation:
2(3s + t) + 2(3s - 9t)
6s + 2t + 6s - 18t
12s + 2t - 18t
12s - 16t
The rule is x+2, y-3 so you apply it to each of these coordinates. Right 2, down 3.
A(-2,2) -> A'(0,-1)
B(-2,4) -> B'(0, 1)
D(2,2) -> D'(4,-1)
Answer:
The correct answer is A. It is constant.
Step-by-step explanation:
When the x-values are between 4 and 8, this graph is constant. This can be seen because the graph is a horizontal line, meaning it has zero slope. Since the slope is zero, it is neither increasing nor decreasing, and is known as constant.
Hope this helps!
