A force F acts on a particle that is moving in the plane along the semi-circle parameterized by 7(t) = (- cost)i+ (sin t)j; t e [0, ]. Find the work W = S, F · d³ done by the force field when (a) F = x² + y² î (b) F - x2 + y² î, where î is the unit vector tangential to the path.

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