Calculate the work done by field \( \mathbf{F}(x, y) = \langle 2x, 3y \rangle \) on a particle that traverses the unit circle. Assume the particle begins its movement at \( (-1, 0) \).
calculus-iiivector-calculusline-integralworkconservative-vector-fieldclosed-loopfundamental-theorem-of-line-integralsunit-circleparameterizationdot-productpartial-derivativesevaluate-integral
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