document.write( "Question 1192303: Given that y = 4x^2-x-4, find the approximate percentage change in y as x increases from 2 to 2.02. \n" ); document.write( "
Algebra.Com's Answer #824219 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\"y+=+4x%5E2-x-4\"\r\n" );
document.write( "\r\n" );
document.write( "\"dy%2Fdx=8x-1\"\r\n" );
document.write( "\r\n" );
document.write( "\"dy=%288x-1%29dx\"\r\n" );
document.write( "\r\n" );
document.write( "x = 2, dx = Δx = 0.02\r\n" );
document.write( "\r\n" );
document.write( "\"dy=%288%2A2-1%29%2A0.02\"\r\n" );
document.write( "\r\n" );
document.write( "\"dy=0.3\"\r\n" );
document.write( "\r\n" );
document.write( "dy is approximately Δy, so\r\n" );
document.write( "\r\n" );
document.write( "the fractional change is approximately \r\n" );
document.write( "0.3/2 = 0.15 which equals the approximate\r\n" );
document.write( "percentage change, 15%.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );