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thank you very much.V= i + 3y + 2k The angle this vector makes with the xy-plane is approximately 16.6° 19.7° 66.2° o 73.4°Which of the following vector fields in the plane is conservative? O F(x,y) = (2xy)i + (3y2); F(x,y) = (- x2y)i + (2xy?) O F(The curve defined by r(t) = (t, 4t, 8t) from t=0 to t=5 has arc length O 3 O 5 O 15 O 45

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Given that :- = Gêt 3h + 2 we have to find angle between this vector and any plane NOW we Know that any vector i on ny planeAIA. - ( (%) F(x,9 ) - сә): . До (2) р- - э, ба Here 2 ну? Now ond 24 ӘР да 22? ДА Хо ӘФ ӘР ә) 1. { : not conservative) ди3 riven that 8(t): and t=o tot=5 <t, 45, 847 NOW x(t)= {1,4,87 are length is given by 5 2= s 102t(4527(812 dt 5 L = su 81 dt

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