A particle moves counterclockwise around the ellipse with equation 9x? + 16y² = 25. a) At what rate is the x-coordinate changing when the particle passes the point (1,1) if it's y-coordinate is increasing at a rate of 6 m/s? b) At what rate is the y-coordinate changing when the particle passes the point (-1, 1) if it's x-coordinate is increasing at a rate of –8 m/s? 3

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A: We have to use a concept of derivatives

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A: