Let F ayz i ax bz j cx 3y k where a b c E R a Find the values of a b c such that the vector field F is conservative in R b Find a potential function o for the vector field F for values of the parameters a b c that you found in Part a c Consider the line integrals F dr where is the curve formed by the intersection in the first octant oriented of the plane z 3 and the surface z anticlockwise when viewed from above 3x Calculate the line integral i For arbitrary values of the parameters a b and c ii Using the potential function found in Part b i e for the special case of the
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