Answer:
D. Kinetic Energy
Explanation:
When a vehicle—or any other object—is in motion, it has kinetic energy. Kinetic energy (KE) is given by the equation KE = 1/2mv², where m is the object's mass and v is the object's velocity. As an object in motion becomes heavier, its kinetic energy increases proportionally: double the mass and you double the kinetic energy.
They are being multiplied by exponents. By my calculations, its being squared. (meaning its being multiplied by itself)
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:
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Explanation:
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