document.write( "Question 973693: The graph of y = n ( 1−x^2 ) has an area equal to 51, find the value of n. \n" ); document.write( "
Algebra.Com's Answer #595833 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! first find the zeros for 1 - x^2 \n" ); document.write( "(1+x)(1-x) = 0 \n" ); document.write( "zeros are -1, 1 \n" ); document.write( "integrate 1 - x^2 \n" ); document.write( "integral = x - x^3/3 \n" ); document.write( "evaluate the integral for x = -1 and 1 \n" ); document.write( "(1 - 1/3) - (-1 + 1/3) = 2/3 + 2/3 = 4/3 \n" ); document.write( "we are given \n" ); document.write( "51 = n * 4/3 \n" ); document.write( "4n = 153 \n" ); document.write( "n = 38.25 \n" ); document.write( " \n" ); document.write( " |