Consider the force field F defined by F (x, y) = (6xy-12,3x^2). Use the formula (16.2) on p.90 of Guide 3 to determine the work done by the force field F in moving an object in an anticlockwise direction from the point (2, 0) to the point (−2, 0) along the circle x 2 + y 2 = 4 by applying (a) the method for evaluating a line integral that is described in Example 16.4.1 (4) (b) the Fundamental Theorem of Line Integrals (Theorem 16.5.2).
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