document.write( "Question 1113477: Hello!\r
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document.write( "In a study of the winter moth in Novia Scotia, the number of eggs \"N\", in a female moth depends on her abdominal width \"W\" (measured in millimeters), this can be approximated by the model:\r
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document.write( "N= 14W^3-17W^2-6W+34 where 1.5mm <(or = to) W < (or = to) 3.5mm\r
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document.write( "1) Find the intervals on which the number of eggs is increasing or decreasing for the given domain.
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document.write( "2) Indicate any extrema that occur. \n" );
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Algebra.Com's Answer #728526 by ikleyn(52855) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "1. Take the derivative of the given function.\r\n" ); document.write( "\r\n" ); document.write( " It will give you a quadratic polynomial function of W.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2. Equate this derivative quadratic function to zero.\r\n" ); document.write( "\r\n" ); document.write( " It will give you a quadratic equation.\r\n" ); document.write( "\r\n" ); document.write( " Solve this quadratic equation and find its roots.\r\n" ); document.write( "\r\n" ); document.write( " These points will be extrema points to your original function.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "3. Where the quadratic function (derivative) is positive, there the original function increases.\r\n" ); document.write( "\r\n" ); document.write( " Where the quadratic function (derivative) is negative, there the original function decreases.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "These are STANDARD CALCULUS RECOMMENDATIONS AND GUIDLINGS.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |