Algebra.Com's Answer #659644 by ikleyn(52781)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A curve passes through he point P(0,3.5) and is such that dy/dx=2-x. The normal to the curve at P meets the curve again at Q.\r
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document.write( "Find the coordinates of Q.
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document.write( "Since you are Calculus, I will talk to you as to a Calculus person.\r
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document.write( "1. Since dy/dx = 2-x, y =  -  +  , where C is a constant.\r\n" );
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document.write( " Find C from the condition that y(0) = 3.5. (Use the info about the point P).\r\n" );
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document.write( "2. The normal to the curve at P is the straight line y - x = k, where \"k\" is a constant. (Why ?)\r\n" );
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document.write( " Find the constant \"k\" from the condition that the normal passes through the point P = (0,3.5).\r\n" );
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document.write( "3. Now solve the system\r\n" );
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document.write( " y = - + ,\r\n" );
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document.write( " y - x = k\r\n" );
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document.write( " to find the second intersection point Q.\r\n" );
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