Question: Given the vector field F = 2xy 3 i + (1 + 3x 2 y 2 ) j . (i) Show that F is a

            Given the vector field F = 2xy 3 i + (1 + 3x 2 y 2 ) j .

(i) Show that F is a conservative vector field. 

            Given the vector field F =

(ii) Find the potential function f such that


(iii) Find the work done by F on a particle moving from (0, 1) to (1, 1).

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