A particle is moving along the curve 16x2 + 9y2 = 144.Find all points (x, y) at which

Chapter 3, Problem 42

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A particle is moving along the curve \(16 x^{2}+9 y^{2}=144\). Find all points (x, y) at which the rates of change of \(x\) and \(y\) with respect to time are equal. [Assume that \(dx/dt\) and \(dy/dt\) are never both zero at the same point.]

Equation Transcription:

Text Transcription:

16^2 + 9y^2 = 144

x

y

dx/dt

dy/dt

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