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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).

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).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 44PS: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from...
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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)
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). 6. A trough, 6 m long, has the cross section shown. Water flows in at the rate of 0.3 : . Find the rate at which the min water surface is rising when the depth of water is 1.2 m. 1.20m F1.20m
Transcribed Image Text: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). 6. A trough, 6 m long, has the cross section shown. Water flows in at the rate of 0.3 : . Find the rate at which the min water surface is rising when the depth of water is 1.2 m. 1.20m F1.20m
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