5. Let F(x,) ) Consider the following argument:

  • June 25, 2021

5. Let F(x,) ) Consider the following argument: “Since the vector field F satisfiesa=y, ax, must be conservative. Thus for any simple closed curve C, by the fundamental theorem of line integrals we must have. dr 0.” ()[4 points] Explain in your own words why this argument is wrong. (b)[4 points] Give two examples of simple closed curves C, one where the above argument is valid and one where it is not. For the curve where the argument is invalid, compute

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