Hard related rates problem. Please help

Question

anonymous · Answer

A person is running around an elliptical track. The equation of the track is 4x^2 +25y^2 = 200

(a) When the person is at 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 the point (8,0). When she is at the point (5,2),can she see the bear? Explain

I think I can do part a but I need help with b and c

kainui · Answer

Show me how you would do problem a and I'll help you go from what you know to what you don't know.

kainui · Answer

Hey, I want to let you know that I really enjoy calculus problems like this and I think I can really help you understand and learn this so that you will think it's simpler too. But I have to know if you're there and are working on this problem or not, otherwise I'll move on to someone else who wants to learn. Just tell me you're working on it and give it your best attempt and don't worry about being wrong because being wrong is what learning is all about.