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:
The answer I think would be hexagon
Answer:
(3,0.5)
Step-by-step explanation:
The given system has equations:

Let us multiply the second equation by 4 and the first equation by 10.

We add both new equations to get:

Put x=3 into the first equation and solve for y.

The point of intersection is the solution to the system of equation which is (3,0.5)
Answer:
Step-by-step explanation:
r = 3 in
h = 7 in
volume of cone = ⅓πr²h = 21π in³
cylinder has radius r = 3 and height h.
volume of cylinder = πr²h = 9πh in³
volume of cylinder is two times the volume of cone
9πh = 2×21π
9h = 42
h = 42/9 = 4⅔ in