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3 years ago

What is the central idea of the role of myths

Advanced Placement (AP)

1 answer:

Delvig [45]3 years ago

3 0

Answer:

One answer is that it leans on the message impossible is not impossible and indicates precise reasoning for general things ie) one myth to many others in maths some people would say maths it is not creative; but I guess it has a key magic factor over time for those who both study or have basic skills from and through at least problem solving.

Such myth can be reversed for those who find the study of maths interesting.

As the basics for some people do not find it challenging enough just repetitive and wouldn't understand what context of creativity.

As extract shows below.

Explanation:

Creativity is as central to mathematics as it is to art, literature, and music. The act of creation involves diametrical opposites--working intensely and relaxing, the frustration of failure and elation of discovery, satisfaction of seeing all the pieces fit together. It requires imagination, intellect, intuition, and aesthetic about the rightness of thing

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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

An someone help me with #10 I am super confused I’ll give the brainliest!

drek231 [11]

So use half the surface area formula: SA=2πr^2 and plug in what you already know
since you don't know the radius yet, solve for it using the circumference
C=2πr
514.96=3.14(2)r
82=r

SA=2π(82)^2
SA=6.28(6724)
SA=42,226.72
so your answer is 42,226.72 yards squared

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3 years ago

When drinking at a private event, you should assume that drinks will __________. A. be stronger than normal B. be weaker than no

Elina [12.6K]

Be stronger than normal

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3 years ago

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Identify some limitations of psychological experiments (choose all that apply)

White raven [17]

One, two and four are limitations of psychological experiments.

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