A particle moves counterclockwise around the ellipse with equation 9x² + 16y² = 25 (Figure 14).

(a) In which of the four quadrants is dx/dt > 0? Explain.
(b) Find a relation between dx/dt and dy/dt.
(c) At what rate is the x-coordinate changing when the particle passes the point (1, 1) if its y-coordinate is increasing at a rate of 6 m/s?
(d) Find dy/dt when the particle is at the top and bottom of the ellipse.

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