Ajogger runs around a circular track of radius 55 ft. let (x, y) be her coordinates, where the origin is the center of the track. when the jogger's coordinates are (33, 44), her x-coordinate is changing at a rate of 15 ft/s. find dy/dt.

11.25 ft/sec

Step-by-step explanation:

Given that a jogger runs around a circular track of radius 55 ft.

. Let (x,y) be her coordinates, where the origin is the center of the track.

Then we know x,y satisfies the equation of the circle as

Let us differentiate this implicit function with respect to t

At this point, dx/dt 15 and x=33. y =44

Substitute to have

dy/dt = 11.25 ft /s

x=6 and x=3

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