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4. Let F : R3 -> R3 be the following conservative vector field In(ac) F(x , y, z) = + 1 2 3 + (32

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4. Let F : R3 -> R3 be the following conservative vector field In(ac) F(x , y, z) = + 1 2 3 + (32 2 ) k Find an example of a path y : R - R3 such that F . ds = ($1 + $7 + 1)1 ( F . ds Show the values of $1$25354858657 at the beginning of the answer. Show your working. [20 marks]

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