A particle is moving along a hyperbola xy=8. As it reaches the point (4,2), 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?  *Notes: Please label your known and unknown variables. Also, please draw a diagram of the problem* *Please use handrwritng, not typing. i understand it better that way. Thank you.*

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A particle is moving along a hyperbola xy=8. As it reaches the point (4,2), 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? 

*Notes: Please label your known and unknown variables. Also, please draw a diagram of the problem*

*Please use handrwritng, not typing. i understand it better that way. Thank you.*

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Given Data:

Let us consider the particle is moving along a hyperbola xy=8. As it reaches the point (4,2), the y-coordinate is decreasing at a rate of 3 cm/s.

To Find: The x-coordinate of the point changing at that instant and draw a diagram of the problem

 

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