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2 years ago

Which of these is an example of a plateau.

Advanced Placement (AP)

2 answers:

nordsb [41]2 years ago

5 0

Answer:

none of the above

Explanation:

plus i can't see but on the plus side i may have made this a thing

ycow [4]2 years ago

3 0

Answer:

Hey mate, you haven't given options. Check it please. ☺️

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1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The

Arlecino [84]

Hi there!

To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

$\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt$

Evaluate using a calculator:

$= 899.97 \approx \boxed{900\text{ people}}$

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:
$\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt$

We can evaluate using a calculator (math-9 on T1-84):

$\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt$

$= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}$

If:
$P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt$

Then:

$\frac{dP}{dt} = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt = S(t) - R(t)$

Evaluate at t = 20:

$S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669$

$S(20) - R(20) = 87.844 - 108.669 = -20.823$

This means that at t = 20, there is a NET DECREASE of people at the movie theater of around 20.823 (21) people per hour.

To find the maximum, we must use the first-derivative test.

Set S(t) - R(t) equal to 0:

$80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 0$

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.

Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.

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1 year ago

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!What are the benefits and drawbacks to using solar, geothermal, and wind power as alternative so

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Solar energy plants take up a lot of land space and can destroy animals habitats. Geothermal is bad because it gives of CO2 which can lead to global warming. Finally, wind power plants (turbines) also take up a lot of space and can destroy animals habitats. They can even be put in the water and destroy marine life.

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2 years ago

What is the brains role In the nervous system

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The brains sends nerve waves to other parts of the body to make our skin say that something hurts.

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2 years ago

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Please help ASAP! Summarize the contributions of several key “founding fathers".

Svet_ta [14]

There are six key goals stated by the Founders in the Preamble. "Form a more perfect Union, establish Justice, insure domestic Tranquility, provide for common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity."

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2 years ago

From 2010 through 2017 there was a large increase in the number of migrants from Africa to Europe. Which of the following explai

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The impact of migration from 2010 to 2017 created a large increase in immigrants in the continents of Africa and Europe.

During 2010-17 due to the expansion of population there was growth of slums and asylums.

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The possible impacts that the migrants made were seen in terms of financial support and gains.

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