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F(x, y) = yi + xj (a) Show F is conservative Given your answer in (a)...

F(x, y) = yi + xj
(a) Show F is conservative

Given your answer in (a) show that the following integrals have the same value.
(b) The line segment y = x from (0,0) to (1,1).

(c) The parabola y=x^2 from (0,0) to (1,1).

(d) The cubic y=x^3 from (0,0) to (1,1).

(e) The b, c and d are examples of what property resulting from part a?
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