document.write( "Question 1167701: Let vector space P2 have an inner product defined as
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document.write( "⟨p, q⟩ = ∫[-1 to 1] p(x)q(x) dx
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document.write( "Find d(1, x) \n" );
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Algebra.Com's Answer #792336 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Then d(1,x) is the inner product \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (1-x,1-x) = integral from -1 to 1 of (1-x)^2 dx,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which is the same as the integral from -1 to 1 of (x-1)^2 dx.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Antiderivative is\r \n" ); document.write( "\n" ); document.write( "Solved, explained and answered.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |