document.write( "Question 1041089: You have a thin plate in the first quadrant of the x, y-plane. Its boundaries are $\"+y+=+x%5E2+\"$ and $\"+x+=+y%5E2+\"$ , and
\n" ); document.write( "its density is ρ(x, y) = $\"+%28x+%2B+1%29%28y+%2B+1%29+\"$ g/cm^2\r
\n" ); document.write( "\n" ); document.write( "(a) Set up and calculate a double integral for its area A.
\n" ); document.write( "(b) Set up and calculate a double integral for its mass M.
\n" ); document.write( "(c) Set up and calculate double integrals for its moments Mx and My of mass.
\n" ); document.write( "(d) Where is the center of mass of this plate?
\n" ); document.write( "(e) Calculate the average density of the plate.
\n" ); document.write( "(f) Calculate the moments of inertia $\"+I_x+\"$ , $\"+I_y+\"$ , and $\"+I_0+\"$ of the plate. \n" ); document.write( "

Algebra.Com's Answer #656038 by AnlytcPhil(1806) $\"\"$ $\"About$

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You have a thin plate in the first quadrant of the x, y-plane. Its boundaries are +y+=+x%5E2+ and +x+=+y%5E2+, and
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document.write( "That's too much to ask.  I'll do the first.\r\n" );
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document.write( "(a) Set up and calculate a double integral for its area A.\r\n" );
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document.write( "That's enough. The rest is a matter of setting up similar double \r\n" );
document.write( "integrals using the formulas in your book for moments, mass, \r\n" );
document.write( "average density, and moments of inertia.  Look at examples of\r\n" );
document.write( "these in your book.  You can do it!\r\n" );
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document.write( "Edwin

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