Determine the total work, by Green's theorem, done by the force field F(x, y) =< 2x - y2, x² y>, on a particle following the path described in the graph below.

Q: Find the work done by the force field F(r, y) = x²i+ xyj on a particle that moves once around the…

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Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: Find the work done by the vector field F = xi + 2xyj + 3xyzk on a particle that moves along

A: Introduction: The size of the region enclosed by the graph of the supplied function between two…

Q: 2的 在年

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Q: Find the work F dr done by the force field F = (y, x, z) on a particle that moves along C the line…

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Q: Find the flux of the constant vector field i = -4 i – 5j- 2 k through a square plate of area 16 in…

A: The solution is given below

Q: Find the work done in moving a particle in the force field F = (2r + y)i + (3y – 2)j along the…

A: Work done in moving a particle in the force field along along the curve C is:  ∫CF→·dr→ here F→ is…

Q: Determine the total work, by Green's theorem, done by the force field F(x, y) =, on a particle…

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Q: Sketch the vector field F(x, y) = 3i + 5j and calculate the flux then the circulation of F| along…

A: (1) The equation of line segment is: x+3-2+3=y-1-5-1=tx+3=t⇒x=t-3y-1=-6t⇒y=-6t+1 The curve…