document.write( "Question 1173368: Name the curve and find the rectangular form for the parametric equations.?
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\n" ); document.write( "\n" ); document.write( "x(t)= 1/√t+1 and y(t)=t/t+1 \r
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Algebra.Com's Answer #798589 by ikleyn(52834) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "From  x = ,  you get, squaring,\r\n" );
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document.write( "    x^2 = ,\r\n" );
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document.write( "    x^2*(t+1) = 1\r\n" );
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document.write( "    x^2*t + x^2 = 1\r\n" );
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document.write( "    x^2*t = 1 - x^2\r\n" );
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document.write( "    t = .\r\n" );
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document.write( "Now substitute it into the expression for y = .  You will get\r\n" );
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document.write( "    y =  :  =  :  = 1- x^2.\r\n" );
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document.write( "So, the curve is the parabola\r\n" );
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document.write( "    y = 1- x^2.      ANSWER\r\n" );
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