ENGI 5432 Advanced Calculus

    Faculty of Engineering and Applied Science
    2009 Winter

    Examples for Potential Functions

      In each case, find the potential function for the vector field,
      (or prove that no such potential function exists).

    1. F = < y+z+yz, x(1+z), x(1+y) >

    1. F = < e^y, x e^y + z^2, 2yz >

    1. F = < -y, x, z >

    1. F = < (2x+1)z sin y, x(x+1)z cos y, x(x+1) sin y >
      and the potential is zero on all coordinate planes.

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    Created 2008 02 25 and most recently modified 2008 12 27 by Dr. G.H. George