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:
Explanation
please find the answer and explation to the mqq questions in the attachment below
I and III only. I assume this is APES. Recycling old products reduces the usage of materials by using old ones and planting a new tree to replace every tree cut down would allow the world to continue economic developments while not exhausting forestry. II is wrong because if every adult had 3 children then a family would have 6 children and more children = more resources
Answer:
Two forces that affect the economic stability of cities are unemployment and inflation.
Unemployment is rate of people available for and looking for work, but without a job. In turn, inflation is the constant increase in the prices of goods and services during a certain period of time.
Both variables negatively affect the economic stability of cities, since, on the one hand, unemployment limits the productive capacity of the city and causes less money to circulate in the internal economy, limiting the population's consumption capacity and therefore hence the income of the city's companies. In turn, inflation causes a rise in prices that limits the consumption possibilities of the population, as each individual needs more money to acquire the same goods.
Both problems have a direct correlation with the population increase in cities: unemployment because an excessive increase causes an excess of people looking for work in a market that does not adapt to this need; and inflation because the higher the demand for the products, the higher the price of them.
none of them are a right angle since there isn't an angle on any of those measurements that are 90 degrees.
