Question: Determine if the given vector fieldFis conservative or not.F =(y +5z +8) sin(x),cos(x),5 cos(x)conservativenot conservativeIfFis conservative, find all potential functions f forFso thatF =f.(IfFis not

Determine if the given vector fieldFis conservative or not.F =(y +5z +8) sin(x),cos(x),5 cos(x)conservativenot conservativeIfFis conservative, find all potential functions f forFso thatF =f.(IfFis not conservative, enter NOT CONSERVATIVE. UseCas an arbitrary constant.)f(x, y, z)=

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