Find the Mass of the Surface S Having the Given $x + y + 3 z = 3$

question 117

Multiple Choice

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

• A) \(\sqrt { 11 }\)
• B) \(\frac { \sqrt { 11 } } { 4 }\)
• C) 49
• D) 20

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