document.write( "Question 1099223: calculate points of intersection of two curves y=2X^2 and x=16y^2.make a neat sketch of two curves and show the Area bounded by the curves in the first quadrant.show the representative strip/element that you will use to calculate the volume ( use she'll method ) of the solid generated when the area bounded by the curves rotated about the y-axis \n" ); document.write( "

Algebra.Com's Answer #713671 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=2x%5E2\"$
\n" ); document.write( " $\"x=16y%5E2\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"y=2%2816y%5E2%29%5E2\"$
\n" ); document.write( " $\"y=2%28256y%5E4%29\"$
\n" ); document.write( " $\"y=512y%5E4\"$
\n" ); document.write( " $\"512y%5E4-y=0\"$
\n" ); document.write( " $\"y%28512y%5E3-1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"y=0\"$ where then $\"x=0\"$
\n" ); document.write( "and
\n" ); document.write( " $\"512y%5E3=1\"$
\n" ); document.write( " $\"y%5E3=1%2F512\"$
\n" ); document.write( " $\"y=1%2F8\"$ } and $\"x=16%281%2F8%29%5E2=1%2F4\"$
\n" ); document.write( "So the points of intersection are,
\n" ); document.write( "( $\"0\"$ , $\"0\"$ ) and ( $\"1%2F4\"$ , $\"1%2F8\"$ )
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.\r
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