Answered: 5. Point P on the curve x² = y is…

5. Point P on the curve x² = y is moving such a way that its abscissa is increasing 1/6 unit/second. Find the rate at which the angle 0 is changing when P is at (3,9).

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.CR: Chapter 3 Review

Problem 11CR

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Question

Point P on the curve x^2= y is moving such a way that its abscissa is increasing 1/6 unit/second. Find the rate at which the angle theta is changing when P is at (3,9). (Disregard number 6)