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Hi; I am trying to use the divergence theorem to calculate the outward flux through a centered sphere of radius "a". If I manually perform the calculation or use the SurfaceIntegrate function, I seem to get the correct answer. However, I cannot...
Hi; I am trying to create a VectorPlot3D of a vector field that is not actually given. However, I am given a parametric representation of the path, which I should be able to use to create the vector - see attached notebook. In any event, I am...
Hi; I am trying to understand Surface Integrals and how to calculate them using Mathematica's NSurfaceIntegral[], NIntegrate[] and other functions - See Attached Notebook. Honestly, I find the whole process somewhat confusing and need someone to...
Hi; In using the Area[] function in conjunction with the ParametricRegion[] function to define the region, I get error messages. I would like to check the answer that I calculated using Green's Theorem by using the Area[] function. However, even...
Hi; I am having problems using the function LineIntegrate[] along with ImplicitRegion[] to calculate a line integral - see attached notebook. I am absolutely convinced it is something that I am doing incorrectly, but after reading the...
Would someone please tell me what I am doing incorrectly and/or show me the Mathematica recommended method of obtaining the potential equation from the gradient - see attached notebook. It seems that in attempting to find the anti-derivative...
Hi; When taking a partial derivative of: D[x e^y, y] I end up with an additional Log[] term: e^y x Log[e] Where is the Log[E] coming from? When performing these calculations manually, I would end up with e^y x without the...
Hi; I am attempting to convert a differential equation from Cartesian Coordinates into Cylindrical Coordinates using 4 different Wolfram conversion Functions detailed in the attached notebook. I am not sure that any of the functions that I tried...
Hi; In the code sample below, I am trying to open and display the contents of a notebook named "StereographicProjection" from within an open notebook with both notebooks being in the same directory. My thinking is that with the exact same code in...
Hi; When I replace {x,y,z} with {u,v,w} in the equation below, the answer does not seem to be exactly correct. For example, shouldn't Sqrt[v^2] reduce to simply v and (w^4)^(1/4) reduce to w? Something that makes things ever more confusing is...