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HOW DO YOU SEE IT? The figure shows a region R bounded by a piecewise smooth simple closed path C.
(a) Is R simply connected? Explain.
(b) Explain why , where f and g are differentiable functions.
True or False? In Exercises 43-46, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If F is conservative in a region R bounded by a simple closed path and C lies within R, then is independent of path.