412,129 views
10 votes
10 votes
a jogger runs around a circular track of radius 50ft. let (x,y) be her coordinates, where the origin is the center of the track. when the jogger's coordinates are (30,40), her x coordinate is changing at a rate of 11 ft/s/ find dy/dt.

User Imran Abbas
by
2.6k points

1 Answer

16 votes
16 votes

Answer:

-33/4 ft/s

Explanation:


x^2+y^2=2500 \\ \\ 2x (dx)/(dt)+2y (dy)/(dt)=0 \\ \\ x(dx)/(dt)+y (dy)/(dt)=0 \\ \\ (30)(11)+40 (dy)/(dt)=0 \\ \\ (dy)/(dt)=-(33)/(4)

User Akeda
by
2.8k points