Question: Given the 2-D vector field : G(x, y) = (2y)i + (x)j and the triangular curve T : line segments from point A(0, 0) to


Given the 2-D vector field : G(x, y) = (2y)i + (x)j and the triangular curve T : line segments from point A(0, 0) to point B(4, 0) to point D(4, 2) and back to point A(0, 0) . (a) Sketch the curve, and the vector field >x at the 9 points making a square from (-2, 2) to (2, -2) . - y (b ) Compute W = 9, G . dr parametrically. (Note : You will need to set up and evaluate three line integrals.) (c) Apply Green's Theorem to compute W = &, G . dr
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