Consider the vector fields F D .1 C x/exCyi C .xexCy C 2
Question and Solution
Consider the vector fields F D .1 C x/exCyi C .xexCy C 2y/j ? 2zk; G D .1 C x/exCyi C .xexCy C 2z/j ? 2yk: (a) Show that
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Consider the vector fields F D .1 C x/exCyi C .xexCy C 2y/j ? 2zk; G D .1 C x/exCyi C .xexCy C 2z/j ? 2yk: (a) Show that F is conservative by finding a potential for it. (b) Evaluate Z C G dr, where C is given by r D .1 ? t /et i C tj C 2tk; .0 t 1/; by taking advantage of the similarity between F and G.
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