The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is 
<h3>How to determine the equation</h3>
The equation is a secant function represented by

Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:

The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:

Simplify

Substitute values for A and B in 

Rewrite as a function

Hence, the equation that represents the distance between the center of the circle and the light source is 
Read more about trigonometry functions at:
brainly.com/question/1143565
Answer:

Step-by-step explanation:
Use photomath , its easier it tells you the steps
Answer With Step-by-step explanation:
Part A:
.5[ (3x – 6) (2x + 4) ]
.5(6x^2 - 24)
3x^2 - 12
Part B:
Second Degree Binomial
Part C:
For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.
Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt =
=
= 
hence ; dv / dt = -2400 π