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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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imron07Best ResponseYou've already chosen the best response.0
Find the rate of increase of the function first: \[x^2+y^2=9\\\frac{dx^2}{dt}+\frac{dy^2}{dt}=0\\2xx'+2yy'=0\\y'=\frac{x}{y}x' \]
 one year ago

imron07Best ResponseYou've already chosen the best response.0
Then plug all knowns in ;)
 one year ago

sweett2639Best ResponseYou've already chosen the best response.0
im still confused :/
 one year ago

ChlorophyllBest ResponseYou've already chosen the best response.0
@sweett2639 Firstly do you know how to take derivative?
 one year ago

baldymcgee6Best ResponseYou've already chosen the best response.0
dw:1351482694919:dwFirst label all our variables and rates.
 one year ago