anonymous
  • anonymous
A point moves around the circle x^2 +y^2 = 9. when the point is at (square root of -3, square root of 6) its x coordinate is increasing at the rate of 20 units per second. How fast is the y coordinate changing at that instant?
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Find the rate of increase of the function first: \[x^2+y^2=9\\\frac{dx^2}{dt}+\frac{dy^2}{dt}=0\\2xx'+2yy'=0\\y'=\frac{x}{y}x' \]
anonymous
  • anonymous
Then plug all knowns in ;)
anonymous
  • anonymous
im still confused :/

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anonymous
  • anonymous
@sweett2639 Firstly do you know how to take derivative?
baldymcgee6
  • baldymcgee6
|dw:1351482694919:dw|First label all our variables and rates.