Ajogger runs around a circular track of radius 45 ft. let (x, y) be her coordinates, where the origin is the center of the track. when the jogger's coordinates are (27, 36), her x-coordinate is changing at a rate of 20 ft/s. find dy/dt.

dy/dt =  -5/9  ft/s

Step-by-step explanation:

The track can be expressed as a circle or radius 45ft as follows:

Implicit derivate for getting dy/dt

Then:

Solving using the conditions. when x= 27 and y= 36 ; dx/dt=20  we have:

answer: the answer is 127 degrees

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.