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Dovator [93]
3 years ago
15

Which statement about the cylinder are true? Select two options

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

\ur \: answer)

Step-by-step explanation:

<h2><em><u>THE</u></em><em><u> </u></em><em><u>RÅDIÜS</u></em><em><u> </u></em><em><u>ØF</u></em><em><u> </u></em><em><u>THE</u></em><em><u> </u></em><em><u>CYLI</u></em><em><u>NDER</u></em><em><u> IS</u></em></h2><h2><em><u>\frac{1}{2} x \: units</u></em></h2>

<em><u>THE</u></em><em><u> </u></em><em><u>HEI</u></em><em><u>GHT</u></em><em><u> OF</u></em><em><u> </u></em><em><u>CYLI</u></em><em><u>NDER</u></em><em><u> IS</u></em><em><u> </u></em><em><u>4</u></em><em><u>X</u></em><em><u> </u></em><em><u>UNITS</u></em><em><u> </u></em><em><u>.</u></em>

<em><u>☞</u></em><em><u>ÙR</u></em><em><u> ÃÑSWER</u></em><em><u> </u></em><em><u>HØPE</u></em><em><u> IT</u></em><em><u> HELPS</u></em><em><u> YOU</u></em><em><u> ✌️</u></em>

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How are 12 fl oz equivalent to 335 ml
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3 years ago
Hi guys, can anyone help me with this triple integral? Many thanks:)
Crank

Another triple integral.  We're integrating over the interior of the sphere

x^2+y^2+z^2=2^2

Let's do the outer integral over z.   z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

y^2=4-x^2-z^2

x is the inner integral so at this point we conservatively say its zero.  That means y goes from -\sqrt{4-z^2} and +\sqrt{4-z^2}

Similarly the inner integral x goes between \pm-\sqrt{4-y^2-z^2}

So we rewrite the integral

\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz

Let's work on the inner one,

\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz

There's no z in the integrand, so we treat it as a constant.

=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}

So the middle integral is

\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy  

I gotta go so I'll stop here, sorry.

7 0
3 years ago
Read 2 more answers
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