Question: (a) Evaluate where C is the unit circle given by r(t) = cos ti + sin tj, for 0 t 2 . (b)

(a) EvaluateSc, y dx y dx + (27x- x) dy,

where C₁ is the unit circle given by r(t) = cos ti + sin tj, for 0 ≤ t ≤ 2 π.

(b) Find the maximum value of

where C is any closed curve in the xy-plane, oriented counterclockwise.

Sc, y dx y dx + (27x- x) dy,

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