Consider the field F = (x+y)i - (x² + y²), and the counterclockwise curve C whose boundary is defined by the lines y = 0, x = 2, and y = x. (a) Sketch a graph of the curve C described above. Indicate the direction on the graph. (b) Express the circulation of the field F as a double integral using Green's theorem over C. Evaluate the integral to find the circulation. (c) Express the flux of the field F as a double integral using Green's theorem over C. Evaluate the integral to find the flux.

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