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>
Answer:
1. The name of the town "tie-dye" built is called Arimatsu
I only know that one. Sorry!
Explanation:
The answer about improving your writing skills is explained below.
Explanation:
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brainly.com/question/13411050
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Answer: B
. Merchants' understanding of the patterns of the monsoon winds
Explanation:
India faces a very heavy monsoon every year that brings heavy rainfall and very strong winds.
It would make sense that for merchants to have been able to trade in India in the past, they would have had to have a good understanding of the patterns of the monsoon winds so that they would embark on their trade missions with little to no losses.