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:
Solomon Asch was a pioneering social psychologist who is perhaps best remembered for his research on the psychology of conformity. 1 Asch took a Gestalt approach to the study of social behavior, suggesting that social acts needed to be viewed in terms of their setting.
Explanation:
Answer:
Explanation:
They both are right especially during the time of their presidency. Thomas Jefferson believed that a strong federal government proved itself to be a necessity although he probably didn't like the idea at all. After all the founding fathers tried the Articles of Confederation (ratified 1781) and found out that it didn't really work.
Eight years later, they wrote the constitution that we currently live under. The federal government was given a lot more power which it needed. That doesn't mean it was fully embraced. Just that it was the next step. If anything, for all Jefferson's idealism, he was a pragmatist. If it worked, do it and be content.
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Lincoln saw the whole situation quite differently. The Civil War began with the underlying cause of state's rights. Later on (1863), Lincoln turned to the question of slavery. There was a hole even in the 1789 Constitution and that hole came back to haunt everyone. The question was individual rights. Slaves. The south could not easily survive without slave labor and because slaves were expensive, they were more or less humanely treated. After the Civil War, their condition was a nightmare. Lincoln address the entire question of what was missing in the constitution although he did not bring any amendments to correct what he knew had to be corrected. He may have done so if he was not murdered. As it was it was left to Johnson to bring in the 13th amendment, which abolished slavery.
Answer:
Well, you can take the example of different genres of music. One person might like pop while others might be more interested in country, jazz, hip hop etc. So, what seems good for one might not seem good for others due to their tastes in different things.
What? you are supposed to be using this for educational reasons
