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:
D
Explanation:
You can search it on the internet if you're still not sure
Hope I helped youu
Answer:
This is a very interesting question!! I'm assuming this is from physics. The answer: Kelvin's weight would change between planet x and planet y, because weight is defined as the forcce exerted by gravity. IT's different from mass. Weight changes depending on where you are.
Hope this helps!!!
Explanation:
Answer: B (130)
Explanation:
A trapezoidal Riemann sum can be found by multiplying the width (the change in x) of each sub interval by the average of the y values of the two points at either end of the section and then adding up all of the sun intervals. Therefore, the trapezoidal approximation would equal 0.5(40) + 1.5(50) + 1(35) to get the answer of 130.
Answer with Explanation:
The <em>peak, trough, recession and recovery</em> are stages of the "Business Cycle." They can be represented in a line graph as points that represent individual stages. Each can tell what a country's economy is experiencing in terms of fluctuations happening in economic activities.
The peak is that highest point in the graph. It means that the economy is producing the maximum output that it is allowed to do so.
The trough is the lowest point in the graph. This marks the<em> end of depression.</em> This means that soon, the<em> economy will try to recover.</em>
The recession is that point on the graph that goes down following the peak. This is a period of economic decline or contraction. Here, the production decreases.
The recovery is that point on the graph that goes up following the trough. This stage is marked by increase in demand and production. It is considered to be the end of the business cycle.
