The curve C consists of the portion of the parabola y =x^2-1 joining (1,0) to (2,3); followed by the line y=x+1 joining (2,3) to (0,1) and then along the y-axis from (0,1) to (0,0). Find the work done in moving a particle along C through the Force F(x,y) = <2xy+e^2, x^2+e^y>

The curve C consists of the portion of the parabola y =x^2-1 joining (1,0) to (2,3); followed by the line y=x+1 joining (2,3) to (0,1) and then along the y-axis from (0,1) to (0,0). Find the work done in moving a particle along C through the Force F(x,y) = <2xy+e^2, x^2+e^y>

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The curve C consists of the portion of the parabola y =x^2-1 joining (1,0) to (2,3); followed by the line y=x+1 joining (2,3) to (0,1) and then along the y-axis from (0,1) to (0,0).

Find the work done in moving a particle along C through the Force

F(x,y) = <2xy+e^2, x^2+e^y>

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