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Part 1 Evaluate the line integral by following the given steps. $ 5xy da + 6x y dy C is the triangle with vertices (0,
Part 1 Evaluate the line integral by following the given steps. $ 5xy da + 6x y dy C is the triangle with vertices (0, 0), (1, 0), and (0, 5). The curve C can split up into each one of its sides (shown in the picture below) H(t ) L(t) B(t) Say da + 6xy dy Say dr + 6xydy + 5xyde + 6xydy+ 5xy da + 6xy dy Parametrization of the triangle B(t) E , te E E H(t) = E , te L(t) = { , te (use the most natural parametrizations and remember which direction you need to go) Express the line integral in terms of t $ 5xy da + 6xy dy Say da + 6x ydy + 5xydx + 6xydy + 5xy dx + 6xy dy = at + at + E dt where a = IM b = Evaluate the integral 5xy da + 6x-y dy = Now using Green's Theorem express o 5xy dx + 6x y dy as a double integral f. say do + Gary du = Jo E dA
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