A person is running around an elliptical track. The equation of the track is 4 x 2 + 25 y 2 = 200 . a. When the person is at the point ( 5 , 2 ) , her x - coordinate is increasing at 6 units per minute. Describe how her y - coordinate is changing. b. Can she run in such a way that her x - coordinate changes at a constant rate? Explain. c. The inside of the track is heavily wooded, and she cannot see through the woods. There is a bear standing outside the woods at a point ( 8 , 0 ) . When she is at point ( 5 , 2 ) , can she see the bear? Explain.