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Nikitich [7]
3 years ago
11

A 6-pack of undershirts cost 13.98.This is 3.96 less then the cost of buying 6 individual shirts.If each undershirt costs the sa

me amount how much does each undershirt cost when purchased individually?
Mathematics
1 answer:
dedylja [7]3 years ago
7 0
$2.99 take 13.98+3.96=17.94/6=2.99
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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}

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3 years ago
What is the range of g?
alukav5142 [94]

Answer:

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4 0
3 years ago
Read 2 more answers
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olasank [31]

area = 44.0467 \: cm {}^{2}

<h3>step by step explanation </h3>

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⟹\frac{4 {}^{2} \times 8 }{ 4 \: tan \:  \binom{180}{5} }

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Hope it's helps you

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3 years ago
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Murljashka [212]

Answer:

96

Step-by-step explanation:

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7 0
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koban [17]
Unfortunately, you inadvertently cut off the instructions for this problem when you photographed it.  Could you try again, making certain to include the instructions?

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