9. Let C be the curve in Rº given by the graph of y = 0 from (0,0) to (2,0). For each of the following vector fields in

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9 Let C Be The Curve In Ro Given By The Graph Of Y 0 From 0 0 To 2 0 For Each Of The Following Vector Fields In 1 (38.66 KiB) Viewed 18 times

9. Let C be the curve in Rº given by the graph of y = 0 from (0,0) to (2,0). For each of the following vector fields in R? (i) say whether F is conservative: if F is not conservative justify your answer, if F is conservative write a potential function f(x,y); (ii) evaluate the work done by E along C: if F is not conservative use a parametrization of C, if F is conservative use the potential function f(L,y). (a) F = 2.ci + 3yj (b) F = cos(x)i +5xj