Determine if the given vector field is conservative and/or incompressible: 4,2xy^3,z^4-x
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Determine if the given vector field is conservative and/or incompressible: 4,2xy^3,z^4-x

[From: ] [author: ] [Date: 12-05-28] [Hit: ]
web-formulas.i did the calculation and found out that curl(F) = , which is not zero therefore the field is not conservative. I hope this helps, GOOD LUCK!-do your own homework man!......
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!

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do your own homework man!
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