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

question 55

Multiple Choice

Find the mass of the surface $S$ having the given mass density.
$S$ is part of the plane $x + 5 y + 9 z = 45$ 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.

• A) 42
• B) \(\sqrt { 107 }\)
• C) 19
• D) \(\frac { 375 \sqrt { 107 } } { 4 }\)

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