Question: 6 . 3 Let F ( x , y ) = ( 2 x + y 3 ) i + ( 4 + 3 x

6.3 Let F(x,y)=(2x+y3)i+(4+3xy2)jbe a force field.
a. Show that the vector field Fis conservative on the entire xy-plane.
b. Find the scalar function (x,y) such that F=grad,
c. Calculate the work done by the force field Fon the path consisting of the line segment
from (-1,0)to(0,8) followed by the line segment from (0,8)to(2,8).
6 . 3 Let F ( x , y ) = ( 2 x + y 3 ) i + ( 4 + 3

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