Question

Evaluating $\iiint z(x^2+y^2+z^2)^{−3/2}\,dx\,dy\,dz$ over the part of the ball $x^2+y^2+z^2\le 81$ defined by $z\ge 4.5$

score 1.3k · Answer 1 · 2020-07-29 16:22:49

1.3k

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Evaluating $\iiint z(x^2+y^2+z^2)^{−3/2}\,dx\,dy\,dz$ over the part of the ball $x^2+y^2+z^2\le 81$ defined by $z\ge 4.5$

Published on 29 Jul 2020 - 16:22

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List Question

Evaluating $\iiint z(x^2+y^2+z^2)^{−3/2}\,dx\,dy\,dz$ over the part of the ball $x^2+y^2+z^2\le 81$ defined by $z\ge 4.5$

Point compactification of $\mathbb{R}^2$ into $\mathbb{S}^2$

Integrating spherical harmonic function

Spherical law of cosines

finding farthest vertices to a point in n-dimensional hypercube

Multidimensional change of variables for pdf integration

If $\int |x|^2 f(x) dx<\infty$ then $f(x) \le c |x|^{-d-2}$?

Show the triple integral given is equivalent to $\frac{15\pi}{16}$

How to find the corresponding 2D Cartesian coordinates from 3D ellipsoid?

Find volume of sphere $x^2+y^2+z^2 \leq a^2$ contained in $z \geq 0$, $y \leq x$ and $y \geq 0$

Real Spherical Harmonics Sign

Converting from Mercator Projection to Latitude and Longitude

Determine change of coordinate spherical/cartesian from 4 points with their spherical angles, or how to locate in space using angle between stars.

Cross product direction in Spherical coordiantes

Triple integral, how to convert to spherical coordinates for $x^2+y^2+z^2\le x$

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