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)\"\" \"About 
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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
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