please help For the vector field F = x + y, x - y show the work for the followin

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For the vector field F = x + y, x - y show the work for the following in order and as directed. In each case, C is the unit circle centered at the origin with positive orientation. Calculate the circulation ds by parameterizing C, transforming the line integral into a dt integral, and evaluating the dt definite integral. Write F = f. g think dy, use the circulation form of Green's Theorem to transform the line integral into a double integral, and evaluate the double integral. Show that F is a conservative vector field and find a potential function Theta such that F = Theta. This tells you that both of your answers to the two above parts should be zero. Calculate the flux ds by parameterizing C, transforming the line integral into a dt integral, and evaluating the dt integral. Write F = f,g think dx, use the flux form of Green's Theorem to transform the line integral into a double integral, and evaluate the double integral.

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