Solve the Problem $y$ -Axis of a Thin Infinite Region in the First Quadrant

question 161

Multiple Choice

Solve the problem.
-Find the moment of inertia about the $y$ -axis of a thin infinite region in the first quadrant bounded by the coordinate axes and the curve $y = e ^ { - 3 x }$ if $\delta ( x , y ) = x y$ .

• A) \(\frac { 1 } { 432 }\)
• B) \(\frac { 1 } { 54 }\)
• C) \(\frac { 5 } { 1296 }\)
• D) \(\frac { 1 } { 135 }\)

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