Question: While subject to the force F ( x , y ) = y 3 i + ( x 3 + 3 x y 2 )

While subject to the force F(x,y)=y3i+(x3+3xy2)j, a particle travels once counterclockwise around the circle of radius 3 centered at the origin. Find the work done by F on this particle.
Find the volume of the solid region Q bounded below by the upper nappe of the cone z2=x2+y2 and bounded above by the sphere x2+y2+z2=9.
While subject to the force F ( x , y ) = y 3 i +

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