Question: Show that F ( x , y , z ) = ( z 3 c o s x + 2 x y 2 ) i

Show that
F(x,y,z)=(z3cosx+2xy2)i+(2x2y-2)j+(3z2sinx-4)k
represents a conservative field. Find a scalar potential function , such that F=grad. Hence, evaluate
CF.dr,
where C is is any path joining point (0,-1,1) to (2,3,6) and then to (2,2,2).

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