Consider F and C below. F(x,y,z)=yzi+xzj+(xy+4z)k C is the line segment from (2,0,−2) to (6,5,2) (a) Find a function f such that F=∇f. f(x,y,z)= (b) Use part (a) to evaluate ∫ C
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∇f⋅dr along the given curve C.