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sweett2639

  • 2 years ago

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?

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  1. imron07
    • 2 years ago
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    Find the rate of increase of the function first: \[x^2+y^2=9\\\frac{dx^2}{dt}+\frac{dy^2}{dt}=0\\2xx'+2yy'=0\\y'=\frac{x}{y}x' \]

  2. imron07
    • 2 years ago
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    Then plug all knowns in ;)

  3. sweett2639
    • 2 years ago
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    im still confused :/

  4. Chlorophyll
    • 2 years ago
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    @sweett2639 Firstly do you know how to take derivative?

  5. baldymcgee6
    • 2 years ago
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    |dw:1351482694919:dw|First label all our variables and rates.