document.write( "Question 1086875: 2x^2 + y^2 = 4
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Algebra.Com's Answer #701118 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "You are given that  \r\n" );
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document.write( " = ,    (1)\r\n" );
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document.write( "and they ask you to find max and min of\r\n" );
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document.write( ".          (2)\r\n" );
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document.write( "    Notice that, due to (1), the domain for x is the set of real numbers   <= x <= .\r\n" );
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document.write( "From (1), you have  = .   Substitute it into (2), replacing  .  You will get\r\n" );
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document.write( " =  =  = (completing the square) =  = .\r\n" );
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document.write( "Thus the maximum of    is equal to  6  and it is achieved at x = 1.\r\n" );
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document.write( "Or, more precisely, the maximum of    is achieved at the points  (x,y) = (,)  and  (x,y) = (,).\r\n" );
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document.write( "The plot below shows the graph  f(x) =  in the interval  [,].\r\n" );
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document.write( "Plot  f(x) = \r\n" );
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document.write( "The minimum is at x =  and is equal to  =  = -5.65 (approximately).\r\n" );
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