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Determine whether the following statements are true and give an explanation or counterexample. a. A paddle wheel with its ax-is in the direction would not spin when put in the vector field . b. Stokes' Theorem relates the flux of a vector field F across a surface to values of F on the boundary of the surface. c. A vector field of the form , , where a, b, and c are constants, has zero circulation on a closed curve. d. If a vector field has zero circulation on all simple closed smooth curves Cina region D, then F is conservative on D.
Recall that a histogram is skewed if one side is longer than the others.
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