Consider the vector field G = (2x + z) cos (x 2 + x z) i + (x (z + 1) sin (y + yz)) j +
Chapter 6, Problem 36(choose chapter or problem)
Consider the vector field G = (2x + z) cos (x 2 + x z) i + (x (z + 1) sin (y + yz)) j + (x cos (x 2 + x z) y sin (y + yz)) k. (a) How is G different from the vector field F in Exercise 35? Is G conservative? (b) If x(t) = t 3 , t 2 , t sin t 2 , 0 t 1, evaluate x G ds
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