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Consider the vector field ?(?,?,?)=(3?+3?)?+(4?+3?)?+(4?+3?)?. a) Find a function ? such that ?=∇? and ?(0,0,0)=0. ?(?,?,?)=  ...

Consider the vector field ?(?,?,?)=(3?+3?)?+(4?+3?)?+(4?+3?)?. a) Find a function ? such that ?=∇? and ?(0,0,0)=0. ?(?,?,?)=  

b) Suppose C is any curve from (0,0,0) to (1,1,1). Use part a) to compute the line integral ∫C ?⋅??

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