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>
The process that releases carbon dioxide into the atmosphere is called cellular respiration. In this process, carbon dioxide is emitted or produced along with other metabolites such as lactic acid, aldehydes, acetic acids, and other kinds.
Explanation:
Respiration and decay return carbon to the atmosphere. Fossil fuels (oil, coal, and natural gas) are fashioned from buried remains of organisms. The burning of fossil fuels conjointly releases carbon into the atmosphere.cellular respiration could be a set of metabolic reactions and processes that crop up within the cells of organisms to convert organic chemistry energy from nutrients into ATP(ATP), and so unleash waste merchandise.
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Answer:
Hope this helps:
Explanation:
1.)Must have a definite territory
2.)should have a government
3.)should have a constitution
4.)must have a required population to become a definite state.