Recent content by Xeract

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    How Do You Solve (1+x)e^-x = 0.5 for x?

    This is where I've got to, thanks for the responses: ln((1+x)/e^x) = ln0.5 ln(1+x)-x =ln0.5
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    How Do You Solve (1+x)e^-x = 0.5 for x?

    Sorry if this is a very simple question, I am trying to rearrange (1+x)e^-x = 0.5 for x, and just can't seem to get my head around it. Any tips would be greatly appreciated.
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    Is thermal conductivity additive for multiple layers of different materials?

    I was modelling the conductivity on resistors instead of capacitors. Surely the higher the thermal conductivity the higher the "resistance" to heat flow so they should be modeled as resistors? (I could be completely wrong on this)
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    Is thermal conductivity additive for multiple layers of different materials?

    I think the answer is yes, but I just wanted to check. If you have several sheets of different material, is the total thermal conductivity the sum of the individual thermal conductivities?
  5. X

    How to Find Fourth Roots of a Complex Number?

    Homework Statement I need to find the real and imaginary roots of z^4 = -1. The Attempt at a Solution The polar coordinates of -1 are at (-1, pi), (-1, 3pi) etc so if I assume the solutions take the form z = exp[i n theta] then n theta = pi + 2npi This dosen't seem to give the...
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