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3 years ago

The areas for speech are found in the _ and __ lobes.

Advanced Placement (AP)

2 answers:

Masteriza [31]3 years ago

4 0

I belive the frontal and temporal

nataly862011 [7]3 years ago

4 0

Frontal and temporal lobes

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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 <u>NET DECREASE</u> 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.

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

8 0

2 years ago

Anyone know how to solve this

alexandr402 [8]

For all of the triangles you have to use Sin, Cosin, or Tangent. Sin= opposite/hypotenuse, Cosin=adjacent/hypotenuse, and Tangent= opposite/adjacent.
Question 2-
You have the hypotenuse and you are trying to find the adjacent. Cos(35)=x/51
Multiply the 51 over and now you have 51Cos(35)=x. x=41.77m
Question 3-
Tan(30)= x/24. 24Tan(30)=x. x= 13.856m
Question 4-
Sin(70)=x/18. 18Sin(70)=x. x=16.9 m
Question 5-
Cos(60)= x/30. 30Cos(60)=x. x=15m
Question 6-
Tan(55)=x/6. 6Tan(55)=x. x= 8.568m

7 0

3 years ago

Why lab experiences are most believable

marta [7]

Answer:

SOME can be believeable bc these experiments are conducted by scientists who have probably been studying the topic they are working on for years. Another reason is that these scientists use accurate tools to help them solve the exp.

Explanation:

4 0

3 years ago

I need severe help. Will give brainliest to whoever answers correctly.

Alecsey [184]

Answer:

it is c and im a 100%

Explanation:

7 0

3 years ago

Read 2 more answers

PHOTOGAPHY

cupoosta [38]

Answer:

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Explanation:

3 0

2 years ago

The areas for speech are found in the _________ and __________ lobes.

The areas for speech are found in the _ and __ lobes.