Answer:
No
Step-by-step explanation:
2/3 is bigger
7x - 3y = 24
7x - 24 = 3y
(7x - 24) : 3 = y
Answer:
The equation of the displacement
as a function of time
is :
![d(t)=8sin(\pi t+\pi )](https://tex.z-dn.net/?f=d%28t%29%3D8sin%28%5Cpi%20t%2B%5Cpi%20%29)
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple
or
terms.
Thus,
![d(t) = Asin(wt+c)](https://tex.z-dn.net/?f=d%28t%29%20%3D%20Asin%28wt%2Bc%29)
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 (
) = ![2s](https://tex.z-dn.net/?f=2s)
![A=8](https://tex.z-dn.net/?f=A%3D8)
- The natural frequency (
) and time period (
) is :
![w=\frac{2\pi} {T}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B2%5Cpi%7D%20%7BT%7D)
∴
=
![rads^{-1}](https://tex.z-dn.net/?f=rads%5E%7B-1%7D)
∴
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 :
![d(t)=8sin(\pi t+\pi )](https://tex.z-dn.net/?f=d%28t%29%3D8sin%28%5Cpi%20t%2B%5Cpi%20%29)
<em></em>
A x = 0
using the law of exponents
= 1
for (6² )^ x = 1 then x = 0
B note that
= 1 ⇒ x = 1
2 → 2^8 × 3^(-5) × 1^(-2) × 3^(-8) × 2^(-12) × 2^(28)
= 2^(8 -12 + 28) × 1 × 3^(- 5 - 8)
= 2^24 × 3^(- 13) = 2^(24)/3^(13) = 10.523 ( 3 dec. places)