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>
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Answer:
Nuclear fission
Explanation:
Nuclear science is the field of physics that explains the atomic theory. It also explains the behavior, structure, and component parts of atomic nuclei.
Nuclear fission is used in nuclear power plants.
It is a great deal of radioactive waste that releases a great deal of energy with a little radioactivity.
In this process, the nucleus of an atom splits into two or more smaller and lighter nuclei.
Answer:
h'(t) = (√t)(1 -5t²)/(2t)
Explanation:
First of all, your product rule needs to be written correctly.
(f(x)g(x))' = f'(x)g(x) +f(x)g'(x)
You have ...
