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2 years ago

Which number produces an irrational number when added to 0.5

Mathematics

1 answer:

xenn [34]2 years ago

7 0

Remark

It would have to be any irrational number to start with.

√6 + 0.5 is still irrational even though 0.5 is rational.

π + 0.5 is irrational even though 0.5 is rational.

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Step-by-step explanation:

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2 years ago

Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2 = 25 and the sphere x2 + y2

Inessa05 [86]

Answer:

Step-by-step explanation:

we are asked to find the volume of solid that lies within both the cylinder

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$x=rcost\\y = rsint\\z=z$

|J| =r

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$\int \int \int dxdydz\\=\\\int _0^5 \int_0^{2\pi} \int_{-\sqrt{49-r^2} } ^{\sqrt{49-r^2} rdzdtdr\\= 2\pi \int _0^5 (2\sqrt{49-r^2} rdr\\=4\pi (-(49-r^2) (2/3)\\= \frac{4\pi}{3} (343-48\sqrt{6} )$

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