Math 131
1) Compute grad(f), f(x,y,z)=2x2+xey+yz. 2) Given F= compute curl(F) (Hint: convert V.F. to 1-form as work, diff. & back to VF as flow) 3) Check xy is a harmonic function. 4) Find all quadratic polynomials in two variables that are harmonic. 5) Given u=xy, find an orthogonal family of curves. ................
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