# 1. Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.) F(x, y) = (yex + sin(y))i + (ex + x co

1. Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.)

F(x, y) = (yex + sin(y))i + (ex + x cos(y))j

2. Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.)

F(x, y) = ex cos(y)i + ex sin(y)j

(550 words)

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