3 years ago

Please help me and give answers

Mathematics

1 answer:

Roman55 [17]3 years ago

7 0

Easy just divide by 2 :)))

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A special liquid is held in a tank described as (x 2 + y 2 ) ≤ z ≤ 1 in a Cartesian coordinate system. Assume that the density o

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Since $\rho=\dfrac mV$ (density = mass/volume), we can get the mass/weight of the liquid by integrating the density $\rho(x,y,z)$ over the interior of the tank. This is done with the integral

$\displaystyle\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{x^2+y^2}^1(2-z^2)\,\mathrm dz\,\mathrm dy\,\mathrm dx$

which is more readily computed in cylindrical coordinates as

$\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1(2-z^2)r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{3\pi}4}$

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3 years ago

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3 years ago

PLEASE HELP! Write a numerical expression involving division in which the first step in evaluating the expression is addition. D

Tanzania [10]

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3 years ago

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Please help me and give answers​

Please help me and give answers