Write a careful proof of the three-dimensional case of Theorem 3.5 of Chapter 6: If F is

Chapter 7, Problem 23

(choose chapter or problem)

Write a careful proof of the three-dimensional case of Theorem 3.5 of Chapter 6: If F is a vector field of class C1 whose domain is a simply-connected region R in R3, then F = f for some (scalar-valued) function f on R if and only if F = 0 at all points of R.

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