A particle moves along the curve implicitly defined by xy¹ - yx4 = x-y2. When the particle passes through the point (1,1) its x coordinate is changing 1/4 units per second. How fast is the y coordinate changing at this instant?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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9. A particle moves along the curve implicitly defined by
xy¹ - yx¹ = x - y². When the particle passes through
the point (1,1) its x coordinate is changing 1/4 units
per second. How fast is the y coordinate changing at
this instant?
Transcribed Image Text:9. A particle moves along the curve implicitly defined by xy¹ - yx¹ = x - y². When the particle passes through the point (1,1) its x coordinate is changing 1/4 units per second. How fast is the y coordinate changing at this instant?
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