Use a Computer Algebra System to Find the Moment of Inertia

question 78

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) 8.313
• B) 34.138
• C) 24.105
• D) 28.5
• E) None of these

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