We call a vector field F on R3 radially symmetric if it can be written in spherical
Chapter 6, Problem 34(choose chapter or problem)
We call a vector field F on R3 radially symmetric if it can be written in spherical coordinates in the form F = f ()e, where e is the unit vector that points in the direction of increasing -coordinate. (See 1.7.) (a) Give an example of a (nontrivial) radially symmetric vector field, written in both Cartesian and spherical coordinates. (b) Show that if f is of class C1 for all 0, then the radially symmetric vector field F = f ()e is conservative.
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