A particle is moving along the curve y = x². As the particle passes through the point (1,e), its x-coordinate increases at a rate of 2/2 cm/s. How fast is the distance from the particle to the origin changing at this instant?

A particle is moving along the curve y = x². As the particle passes through the point (1,e), its x-coordinate increases at a rate of 2/2 cm/s. How fast is the distance from the particle to the origin changing at this 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.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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Question

A particle is moving along the curve y = x². As the particle passes through the point
(1,e), its x-coordinate increases at a rate of 2/2 cm/s. How fast is the distance from
the particle to the origin changing at this instant?

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