Question: Given vec ( F ) = 3 x 2 zvec ( ) + z 2 vec ( j ) + ( x 3 + 2

Given vec(F)=3x2zvec()+z2vec(j)+(x3+2yz)vec(k).
a. Prove that vec(F) is conservative.
b. Find the flow along the segment joining the origin and A(1,1,1) using two different methods.
Answer
Given vec ( F ) = 3 x 2 zvec ( ) + z 2 vec ( j )

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