A particle moves along a hyperbola xy=8. When it passes through a point (2,4), its x-coordinate increases at a rate of 3cm/s. How is the distance from the particle to the origin changing at this moment?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 43E
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A particle moves along a hyperbola xy=8. When it passes through a point (2,4), its x-coordinate increases at a rate of 3cm/s. How is the distance from the particle to the origin changing at this moment?

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