document.write( "Question 1088246: A point is moving on the graph of 4x^2 +9y^2 =180. When the point is at (3,4), its y-coordinate is decreasing by 2 units per second. How fast is its x-coordinate changing at that moment? \n" ); document.write( "

Algebra.Com's Answer #702551 by Fombitz(32388) $\"\"$ $\"About$

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Use implicit differentiation,
\n" ); document.write( " $\"8x%28dx%2Fdt%29%2B18y%28dy%2Fdt%29=0\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"8%283%29%28dx%2Fdt%29%2B18%284%29%28-2%29=0\"$
\n" ); document.write( " $\"24%28dx%2Fdt%29=144\"$
\n" ); document.write( " $\"dx%2Fdt=6\"$ $\"units%2Fs\"$
\n" ); document.write( " \n" ); document.write( "

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