For the vector field in Cartesian coordinate system, V = (2x2 + y, y2 + 3x): (a) Find all components, V, of VŰ in Cartes

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For The Vector Field In Cartesian Coordinate System V 2x2 Y Y2 3x A Find All Components V Of Vu In Cartes 1 (43.66 KiB) Viewed 37 times

For the vector field in Cartesian coordinate system, V = (2x2 + y, y2 + 3x): (a) Find all components, V, of VŰ in Cartesian coordinates. (b) Transform the components of VŨ from part (a) to components in polar coordinate system using the transformation matrix (C) Using results from previous problem, find the components of V in polar coordinate system in terms of polar coordinates. (4) Find the components, V., of VŰ in polar coordinates using the Christoffel symbols. (e) Find the divergence Vin Cartesian coordinates using results from (a). (f) Write the divergence calculated in Cartesian coordinates in part (e) in terms of polar coordinates. (g) Find the divergence V. in polar coordinates using results from (d). Compare this with your results from part (f).