A particle moves along a hyperbola xy=10. As it reaches the point (6, 4), the y- coordinate is decreasing at a rate of 3 cm/s. How fast is the x-coordinate of the point changing at that instant?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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A particle moves along a hyperbola xy=10. As it reaches the point (6, 4), the y- coordinate is decreasing at a rate of 3 cm/s. How fast is the x-coordinate of the point changing at that instant?

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