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: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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