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Question: which of the following vector fields are conservative answer i...

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9.7 Which of the following vector fields are conservative (Answer: (i), (ii), (v), (viii)) Find a scalar potential for those that are. (v) rc (c. r)r/r (ii) (vi) (c. r)r/ C. TC TC (iii) C Tor cf (r) vii (iv) vill rf (r) a c XT In the above: c is a constant vector & f(r) is an arbitrary function of r rl. If f(r) r in (vii), for which value of n docs the potential diverge at both ro 0 and oo Help in (v),(vi),(vii),(viii) thanks
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