Recent content by sunnyskies

  1. S

    Green's Theorem Integration Question

    Here's the question: So using Green's Theorem, I got that the integral is equal to \int_{C}\frac{\partial}{\partial x}(-e^xsiny) - \frac{\partial}{\partial x}(e^xcosy)dxdy = 0. But surely the answer can't be 0? What am I doing wrong?
  2. S

    Question involving Levi-Civita symbol

    Makes perfect sense, thank you!
  3. S

    Question involving Levi-Civita symbol

    Can someone please explain to me why \epsilon_{ijk}\frac{\partial}{\partial x_i}\frac{\partial A_k}{\partial x_j} = 0 where A is a constant vector field.
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