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Question: Help with SurfaceInt in VectorCalculus Package

Question:Help with SurfaceInt in VectorCalculus Package

PhyTch.Paul 38 Maple
July 31 2006
0
I have been messing with the various functions in the VectorCalculus package and have been getting some unexpected behavior w.r.t. some of the functions. My current issue is with the SurfaceInt function. Consider a sphere whose surface density increases linearly from one point on the sphere to the opposite pole. What is its overall mass. I set up the package... > restart; > with(VectorCalculus); > SetCoordinates(spherical[r, phi, theta]); and a density function... rho := proc (r, phi, theta) options operator, arrow; phi end proc; and perform the integration... SurfaceInt(rho(r, phi, theta), [x, y, z] = Sphere(
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