A point P is moving along the curve whose equation isy = x. Suppose that x is increasing
Chapter 3, Problem 40(choose chapter or problem)
A point \(P\) is moving along the curve whose equation is \(y=\sqrt{x}\). Suppose that \(x\) is increasing at the rate of \(4 \text { units } / \mathrm{s}\) when \(x=3\)
(a) How fast is the distance between \(P\) and the point changing at this instant?
(b) How fast is the angle of inclination of the line segment from \(P\) to changing at this instant?
Equation Transcription:
Text Transcription:
P
y = sqrt x
x
4 units/s
x = 3
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