Explain why or why not Determine whether the
Chapter 14, Problem 39(choose chapter or problem)
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. For a function f of a single variable, if f _1x2 = 0 for all x in the domain, then f is a constant function. If _ # F = 0 for all points in the domain, then F is constant. b. If _ * F = 0, then F is constant. c. A vector field consisting of parallel vectors has zero curl. d. A vector field consisting of parallel vectors has zero divergence. e. curl F is orthogonal to F.
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