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Please determine wether g-j are true or false (g) Let C be a simple closed path in R2 oriented counter-clockwise, and D be the region

Please determine wether g-j are true or false

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(g) Let C be a simple closed path in R2 oriented counter-clockwise, and D be the region bounded by C. Then Green's theorem states that (Pax + Qdy) = // aQ dx dy. Ox + dy (h) Let T: D - R3 be a parametrization of a surface S such that Tu x To # 0. Then Tu X To is a normal to S. (i) Consider the transformation T: R2 - R2 given by T(u, v) = (au + bu, cu + du). Then area (T(D)) = lad - belarea(D). (j) The vector field F _ _yl + xj 20 2 + 2 2 ' defined on R2 with the origin removed, is conservative

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