Considerthe vector fieldF = y x 2 + y2 i + x x 2 + y2 j. (a) Calculate F. (b) Evaluate C

Chapter 6, Problem 36

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Considerthe vector fieldF = y x 2 + y2 i + x x 2 + y2 j. (a) Calculate F. (b) Evaluate C F ds, where C is the unit circle x 2 + y2 = 1. (c) Is F conservative? (d) How can you reconcile parts (a) and (b) with Theorem 3.5?

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