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>
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Hello there.
<span>Which of the following jobs is in the agriculture career cluster ?
</span><span>C. Animal scientist
</span>
Answer:
square metres of plant materials required to support the fox = 3650 m²
Explanation:
From the given information:
the daily caloric requirement of the fox = 800
In a year, we have = 800 kcal × 365 /year = 292,000 kcal/year
Also, only 10% of the energy at a particular trophic level can be passed onto the next.
the net productivity of the plant material = 8000 kcal/m²/yr
So, using 10% of energy at a particular level, the fox only need 80 kcal/m²/yr
The objective is to determine in square meters, how many materials are required to support the fox.
square metres of plant materials required to support the fox = 
= 3650 m²
