Find the Mass of the Surface $S$ Having the Given Mass Density

question 155

Short Answer

Find the mass of the surface $S$ having the given mass density.
$S$ is part of the plane $x + 7 y + 3 z = 21$ in the first octant; the density at a point $P$ on $S$ is equal to the square of the distance between $P$ and the $x y$ -plane.

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