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:
The status of women in the Protestant Reformation was the role of wife and mother, just as the men's role was that of husband, father, or son.
Explanation:
The status of women in the Protestant Reformation was the role of wife and mother, just as the men's role was that of husband, father, or son.
Answer:
Hi how are you doing today?
Answer:
I think the bake sale would be better because, if one we're to do a car wash they may not know how to wash a car and selling baked goods is WAY easier than a car wash. A car wash can be bad depending on the weather and the bake sale. So I would chose the bake sale, it's easier, faster and much more.
Explanation:
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