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guapka [62]
3 years ago
8

Help me out pls thanks!

Mathematics
1 answer:
natulia [17]3 years ago
6 0
The answer is 2 I hope this is right
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Describe how a company that produce earphones can design a survey
DiKsa [7]
First of all this survey need to be <span>anonymous. The company need to know the population whom the survey is addressed. So, I think the following questions can be a good example:

1. </span><span>Where do you usually use earphones? (Please select all that apply)

</span><span>library 
home
transportation
kitchen
driving/riding
Other

2. What are the purposes you use earphones? (Please select all that apply)</span><span>  learn language
listen to music
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privacy concerns(show ‘don’t bother me’)
for beauty
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<span>3. What kind of earphones you like the most?
<span> 
circumaural
supra-aural
earbuds
in-ear 

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appearance
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function(plays music well) 
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<span>5. Have you ever felt vulnerable or unsafe while wearing headphones and listening to music because you are not as aware of your surroundings?
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3 0
3 years ago
: Show that the solution of the differential equation: = − − − − − is of the form: + + ( − ) = + , When = and =
Serhud [2]

Answer:

y = \tan(x + \frac{x^2}{2})

Step-by-step explanation:

Poorly formatted question; The complete question requires that we prove that y=\tan(x+\frac{x\²}{2})

When

\frac{dy}{dx} =1+xy\²+x+y\² and y(0)=0  

We have:

\frac{dy}{dx} =1+xy\²+x+y\²

Rewrite as:

\frac{dy}{dx} =1+x+xy\²+y\²

Factorize

\frac{dy}{dx} = (1+x)+y\²(x+1)

Rewrite as:

\frac{dy}{dx} = (1+x)+y\²(1+x)

Factor out 1 + x

\frac{dy}{dx} = (1+y\²)(1+x)

Multiply both sides by \frac{dx}{1 + y^2}

\frac{dy}{1+y\²} = (1+x)dx

Integrate both sides

\int \frac{dy}{1+y\²} = \int (1+x)dx

Rewrite as:

\int \frac{1}{1+y\²} dy = \int (1+x)dx

Integrate the left-hand side

\int \frac{1}{1+y\²} dy = \tan^{-1}y

Integrate the right-hand side

\tan^{-1}y = x + \frac{x^2}{2} + c

y(0)=0 implies that: (x,y) = (0,0)

So:

\tan^{-1}y = x + \frac{x^2}{2} + c becomes

\tan^{-1}(0) = 0 + \frac{0^2}{2} + c

This gives:

0 = 0 +0 + c

0 =c

c = 0

The equation \tan^{-1}y = x + \frac{x^2}{2} + c becomes

\tan^{-1}y = x + \frac{x^2}{2} + 0

\tan^{-1}y = x + \frac{x^2}{2}

Take tan of both sides

y = \tan(x + \frac{x^2}{2}) --- Proved

8 0
3 years ago
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