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Mariana [72]
3 years ago
13

PLEASE HELP ME I NEED HELP DESPERATELY!!!!

Mathematics
1 answer:
IceJOKER [234]3 years ago
5 0
I hope this helps, pls tell me if my way of answering is wrong
Answer:
2x-3y=4
x-2y=4
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∫∫(x+y)dxdy ,d là miền giới hạn bởi x²+y²=1
igor_vitrenko [27]

It looks like you want to compute the double integral

\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy

over the region <em>D</em> with the unit circle <em>x</em> ² + <em>y</em> ² = 1 as its boundary.

Convert to polar coordinates, in which <em>D</em> is given by the set

<em>D</em> = {(<em>r</em>, <em>θ</em>) : 0 ≤ <em>r</em> ≤ 1 and 0 ≤ <em>θ</em> ≤ 2<em>π</em>}

and

<em>x</em> = <em>r</em> cos(<em>θ</em>)

<em>y</em> = <em>r</em> sin(<em>θ</em>)

d<em>x</em> d<em>y</em> = <em>r</em> d<em>r</em> d<em>θ</em>

Then the integral is

\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}

3 0
2 years ago
Find the product of 543.1187 and 100.
Natasha_Volkova [10]
A 54,311.87
It moves the decimal places to the left by two.
3 0
3 years ago
The scatterplot below shows the relationship between the average life of carpet
ale4655 [162]

Answer:

45665

Step-by-step explanation:

i dont think that is right

7 0
3 years ago
Which number produces
Dvinal [7]

Answer:

A is the answer.

Step-by-step explanation:

A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.

0.3333333 even though it looks like an irrational number it is actually: 1/3

3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)

-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.

However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.

In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.

3 0
3 years ago
Read 2 more answers
What is the probability of drawing a five then a red card?
Airida [17]
Ummm sorry cant answer that

8 0
3 years ago
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