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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
Transcribed Image Text: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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