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Find the Mass of the Surface SS Having the Given Mass Density

Question 55

Multiple Choice

Find the mass of the surface SS having the given mass density.
SS is part of the plane x+5y+9z=45x + 5 y + 9 z = 45 in the first octant; the density at a point PP on SS is equal to the square of the distance between PP and the xyx y -plane.


A) 42
B) 107\sqrt { 107 }
C) 19
D) 3751074\frac { 375 \sqrt { 107 } } { 4 }

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