Suppose that a particle moves through the force fieldF(x, y) = xyi + (x y)j from the

Chapter 15, Problem 55

(choose chapter or problem)

Suppose that a particle moves through the force field \(F(x, y)=x y i+(x-y) j\) from the point \((0, 0)\) to the point \((1, 0)\) along the curve \(x=t, y=\lambda t(1-t)\). For what value of \(\lambda\) will the work done by the force field be \(1\)?

Equation Transcription:

Text Transcription:

F(x,y) = xyi + (x - y)j

(0,0)

(1,0)

x = t, y = lambda t (1 - t)

lambda

1

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