Question: Consider the vector field F ( x , y , z ) = ( 2 z + 2 y ) i + ( z +

Consider the vector field F(x,y,z)=(2z+2y)i+(z+2x)j+(y+2x)k.
a) Find a function f such that F=gradf and f(0,0,0)=0.
f(x,y,z)=
b) Suppose C is any curve from (0,0,0) to (1,1,1). Use part a) to compute the line integral CF*dr.
Consider the vector field F ( x , y , z ) = ( 2 z

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