A point P is moving along the line whose equation is y = 2x. How fast is the distance between P and the point (3, 0) changing at the instant when P is at (3, 6) if x is decreasing at the rate of 2 units/s at that 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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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A point P is moving along the line whose equation is
y = 2x. How fast is the distance between P and the point
(3, 0) changing at the instant when P is at (3, 6) if x is
decreasing at the rate of 2 units/s at that instant?
Transcribed Image Text:A point P is moving along the line whose equation is y = 2x. How fast is the distance between P and the point (3, 0) changing at the instant when P is at (3, 6) if x is decreasing at the rate of 2 units/s at that instant?
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