torgent 2. A particle moves along the curve implicitly defined by x²y³ + yx³ = x² - y². When the particle passes through the point (-1) its x coordinate is changing 2/3 units per second. How fast is the y coordinate changing at this instant?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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2. A particle moves along the curve implicitly defined by x²y³ + yx³ = x² - y².
When the particle passes through the point (-1) its x coordinate is changing
2/3 units per second. How fast is the y coordinate changing at this instant?
Transcribed Image Text:tangent 2. A particle moves along the curve implicitly defined by x²y³ + yx³ = x² - y². When the particle passes through the point (-1) its x coordinate is changing 2/3 units per second. How fast is the y coordinate changing at this instant?
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