The answer is most likely (c.) the spinal cord
The spinal cord is the spine that connects all parts of the body to the brain. It also transmits sensory neurons to the brain.
Among the answers, the amygdala influenced the emotions the most. It is located near the base of the brain, its function is to link perceptions and thoughts with emotional meaning. Thalamus, on the other hand, regulates the consciousness, sleep, and alertness that may affect the person's emotion. And prefrontal cortex indicates to the person's personality.
Hello there , where is the question here ?
Hi there!
a.
To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

Evaluate using a calculator:

b.
To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.
In other terms:

We can evaluate using a calculator (math-9 on T1-84):


c.
If:

Then:

Evaluate at t = 20:


This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.
d.
To find the maximum, we must use the first-derivative test.
Set S(t) - R(t) equal to 0:

Graph the function with a graphing calculator and set the function equal to y = 0:
According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.
<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>