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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>
The closest distance between the orbits of these two planets is about 24 million miles. But the actual distance between the two is constantly changing because they orbit the sun at different speeds. At the farthest, these two planets are 162 million miles apart.
Answer:
Explanation:
Yes, it is possible to <u>break a bone</u> or pull a muscle if a person slips on a ground or ice. Broken bone is very painful and makes it impossible to walk. You would know for sure if that was the case.
Much more common is to <u>pull a muscle or joint</u>. You would still be able to walk, but it would hurt. In any case you do need to talk to the general practitioner that treats your family or the one available at school.
If you go back to intensive physical exercise, like cheerleading, if the pain does not go away in a few days, you might cause more damage that could turn out very serious.
Finally, <em>arthritis </em>is a term that includes a number of conditions that affect joints. Most of the diseases that are included under the umbrella term of arthritis, have a gradual onset and manifest in older age.
Answer:
essay below
Explanation:
Government plays a large factor in today's society and has a lot of control over it. Government should be monitoring and changing today's society in a positive way.
The first souce indicates that the government allowed children to work in dangerous conditions, and it was unhealthy as a whole towards everyone who worked there. This was later changed after laws were passed.
The second source shows food insecurity among Inuit Children, the government is needed in areas like these to help support their civilians.
The third source shows equality towards all, now while this is not present throughout the societies of the world and sometimes even governments, this is something that the government should contribute in.
Overall, I suggest that the government should be helping modify today's society and it's problems, such as homelessness, going hungry, healthcare, worker's rights, etc.