Curl & Divergence: a) Calculate the
2Dcurl in
F:
F=(:4x^(3)y,xy^(2)+x^(4):)b) Find the 2D divergence for
Fin part a. c) Is
Fin plart a source free? Irrotational? Explain why. d) Compute the divergence for
F=(:15x,-6y,-6z:). State what this means. e) Find the divergence of the vector field
F=(:x^(2)yz,-xy^(2)z,-xyz^(2):)f) Compute the curl for
F=(:3xz^(3)e^(y^(2)),2xz^(3)e^(y^(2)),3xz^(2)e^(y^(2)):)