Look at the red arrows, and think about the photosynthesis and respiration reactions. Each red arrow connects a set of reactants
to the products of the reaction.
A) Which chemicals would you expect to find at the top of the diagram? Explain.
B) Which chemicals would you expect to find at the bottom of the diagram? Explain
A) Which chemicals would you expect to find at the top of the diagram? Explain.
B) Which chemicals would you expect to find at the bottom of the diagram? Explain
2 answers:
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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>