Please show working out
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In order for a vector field to be conservative, its curl has to be zero:
in your example F = < 4, 2xy^3, z^4 - x>
now we calculate curl(F); it is hard to write down the formula here but you can look it up here (http://www.web-formulas.com/Math_Formula…
i did the calculation and found out that curl(F) = < 0, 0, 2y^3>, which is not zero therefore the field is not conservative. I hope this helps, GOOD LUCK!
in your example F = < 4, 2xy^3, z^4 - x>
now we calculate curl(F); it is hard to write down the formula here but you can look it up here (http://www.web-formulas.com/Math_Formula…
i did the calculation and found out that curl(F) = < 0, 0, 2y^3>, which is not zero therefore the field is not conservative. I hope this helps, GOOD LUCK!
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do your own homework man!