Use a Computer Algebra System to Find the Moment of Inertia

question 44

Multiple Choice

Use a computer algebra system to find the moment of inertia $I _ { 0 }$ of the lamina that occupies the region $D$ and has the density function $\rho ( x , y ) = 3 x y$ , if $D = \{ ( x , y ) \mid 0 \leq x \leq \pi , 0 \leq y \leq \sin ( x ) \}$ .

• A) \(14.1\)
• B) \(34.138\)
• C) \(24.105\)
• D) \(28.5\)
• E) None of these