Answer:
(C)−3 ≤ x ≤ 1
Step-by-step explanation:
The average rate of change of function h over the interval
, is given by this expression:

Given the function
on the interval:− 3 ≤ x ≤ 1

The average rate of change:

Therefore, the function has a negative average rate of change over the interval − 3 ≤ x ≤ 1.
CHECK:
(A)Average rate of change of h(x) over the interval − 3 ≤ x ≤ 5=2
(B)Average rate of change of h(x) over the interval 1 ≤ x ≤ 4=5
(D)Average rate of change of h(x) over the interval − 1 ≤ x ≤ 5=4
Answer:
2 x 7 inches is 14 inches
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:
The graphs are the same because both equations have the same slope, the y-intercept only changes the place of the line. The lines are different because one line is at a different location than the other because of the difference in y intercepts.
Step-by-step explanation: