Solve the Problem $y$ -Axis of the Thin Infinite Region of Constant Density

question 56

Multiple Choice

Solve the problem.
-Find the moment of inertia about the $y$ -axis of the thin infinite region of constant density $\delta = 3$ in the first quadrant bounded by the coordinate axes and the curve $y = e ^ { - 7 x }$ .

• A) \(\frac { 9 } { 343 }\)
• B) \(\frac { 1 } { 343 }\)
• C) \(\frac { 6 } { 343 }\)
• D) \(\frac { 3 } { 686 }\)

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