Question: 3. Let C be the oriented curve in the plane shown at right. Determine if each of the following line integrals is positive, negative, or

3. Let C be the oriented curve in the plane shown

3. Let C be the oriented curve in the plane shown at right. Determine if each of the following line integrals is positive, negative, or zero. (a) f (x, y) ds, for f (x, y) = x. (b) (x, y) ds, for g(x, y ) = y. C X (c) F . dr, for F = i. 2 (d) G . dr, for G = j. (e) H . dr, for H = -it j. 4. Rank the integrals It = ( xds, 12 - J xds, Is - Jo x ds over the three curves C1, C2, C3 shown here. C3 (Sample answer: I1

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