a) Calculate the line integral of the vector field F(x, y) = yi − 5xj from the point (0, 3) to the point (3, 0) (i) along the connecting line C1 between the points. (ii) along the arc C2 (shorter or quarter circle) of the circle centered at the origin. b) Does the vector field F have a potential? (The ratio of answers is π/2.)

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