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:
I've done the outline for u, just fill in the blanks and you'd get the answers.
Answer:
This question really requires me to think because I am not religious at all, but personally I dont think so because we as humans, or well the religious humans, they strive to god for practically everything, and they used ''God'' to justify all the wrong doings. A covenant from my knowledge is an agreement to something, so with religion its between someones God and the person who believes in them, so yeah religious humans they have kept it up. Hopefully, me as a non religious person answering this question, will maybe help you to find the true answer if you are religious. Have a good day.
Explanation:
The answer is corrosive health hazard.
Replacing <em>F</em> with <em>F</em> + 1 gives
5/9 (<em>F</em> + 1 - 32) = 5/9 (<em>F</em> - 32) + 5/9 = <em>C</em> + 5/9
so a temperature increase of 1º F translates to a 5/9º increase in Celsius, so I is true.
Replacing <em>F</em> with <em>F</em> + 5/9 gives
5/9 (<em>F</em> + 5/9 - 32) = 5/9 (<em>F</em> - 32) + (5/9)² = <em>C</em> + 25/81
so increasing the temperature by 5/9º F amounts to a 25/81º increase in Celsius, so III is false.
Solve for <em>F</em> in terms of <em>C</em> :
<em>F</em> = 9/5 <em>C</em> + 32
Replacing <em>C</em> with <em>C</em> + 1 gives
9/5 (<em>C</em> + 1) + 32 = 9/5 <em>C</em> + 32 + 9/5 = <em>F</em> + 9/5
and 9/5 = 1.8, so a 1º C increase translates to a 1.8º F increase, so II is also true and the answer is D.
