SOLUTION: 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 m

Algebra ->  Functions -> SOLUTION: 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 m      Log On


   

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?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use implicit differentiation,
8x%28dx%2Fdt%29%2B18y%28dy%2Fdt%29=0
Substituting,
8%283%29%28dx%2Fdt%29%2B18%284%29%28-2%29=0
24%28dx%2Fdt%29=144
dx%2Fdt=6units%2Fs