The correct answer is placing monetary values on everything
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>
How did nationalist leaders use different methods to pursue independence from colonial rule after 1900?
While countries throughout history have fought for their independence from their colonizing countries, not all of them fought for independence in the same way. Some examples of how many nationalist leaders used different methods to pursue independence from colonial rule after 1900 are:
-Mahatma Gandhi (Indian independence movement), who pursued independence for his country through noncooperation in 1919-1922, a civil disobedience movement of 1930-1931, and finally the Quit India movement in 1940-1942, which led to India and Pakistan gaining independence from the British Empire.
-Hồ Chí Minh (Vietnam War), who pursued independence for his country by beating the French with military strategies and battles, which led to the Vietnam War and finally the independence of Vietnam.
-Paul Kruger (South African independence movement), who pursued independence for his country by fighting the British Empire with military strategies and battles, which led to the Anglo-Boer wars and finally the British Empire troops retreating.
-Kwame Nkrumah (Ghana independence movement), who pursued independence for his country by launching a Positive Action campaign of strikes, boycotts, and disobedience. This led to Ghana gaining independence from the British Empire