Question: 15. Consider the vector field F (r,y) = (2y] - 12ray], Ary - 9ry ) is conservative (a) Show that F (r, y) is conservative

15. Consider the vector field F (r,y) = (2y] - 12ray], Ary - 9ry ) is conservative (a) Show that F (r, y) is conservative (b) Find a potential function ( F - VS) for F(r, y) and use it to evaluate (13 - 12ry') de+ (dry - Oxy?) dy, where C is any path from (1, 1) to (3, 2)

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