6. Let C be the curve in Rº given by the graph of y = 2x from (0,0) to (2, 4). For each of the following vector fields i

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6 Let C Be The Curve In Ro Given By The Graph Of Y 2x From 0 0 To 2 4 For Each Of The Following Vector Fields I 1 (32.39 KiB) Viewed 23 times

6. Let C be the curve in Rº given by the graph of y = 2x from (0,0) to (2, 4). For each of the following vector fields in R2 (i) say whether F is conservative: if F is not conservative justify your answer, if F is conservative write a potential function f (I, y); (ii) evaluate the work done by F along C. (a) F = yi - xj (b) F = yi + xj