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Given the 2-D vector field : F(x, y) = (2x)i + (2y)j and the 2 curves C1 : the line segment from point A(0, 0)
Given the 2-D vector field : F(x, y) = (2x)i + (2y)j and the 2 curves C1 : the line segment from point A(0, 0) to point B(4, 2) C2 : the curve x = y? from point A(0, 0) to point B(4, 2) (a) Sketch both curves, and the vector field at the 9 points making a square from (-2, 2) to (2, -2) >X (b) Evaluate W1 = Sc, F . dr, parametrically. - y (c) Evaluate W2 = Sc, F . dT2 parametrically. (d) Apply the Fundamental Theorem of Line Integrals to compute the work done by the vector field F along any continuous path from point A(0, 0) to point B (4, 2)
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