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May
31
awarded  Tumbleweed
May
30
accepted Application Stokes's Theorem
May
30
comment Implications of zero divergence ($\nabla \cdot F$) when finding the flux
Thank you for your answer!
May
30
accepted Implications of zero divergence ($\nabla \cdot F$) when finding the flux
May
30
asked Implications of zero divergence ($\nabla \cdot F$) when finding the flux
May
28
awarded  Custodian
May
27
comment Application Stokes's Theorem
@Paul, Again, thanks a lot for your help! I've figured it out!
May
27
answered Application Stokes's Theorem
May
27
comment Application Stokes's Theorem
@Paul, You read it the right way. It's just that I was a bit unsure whether it would be (1,0,1) or (1,1,1). Thank you for describing the parameterization!
May
27
comment Application Stokes's Theorem
@Paul, is the normal vector supposed to be $(1,1,1)$? Feels to be the case.
May
27
asked Application Stokes's Theorem
May
27
accepted Evaluating a triple integral by inspection
May
27
comment Evaluating a triple integral by inspection
Thank you! +1 :)
May
27
comment Evaluating a triple integral by inspection
Thank you for your suggestion! I attempted to use cylindrical coordinates (as can be seen in my answer), but it does not seem to give me the right answer :(. Do you see what I am doing wrong?
May
27
revised Evaluating a triple integral by inspection
added 299 characters in body
May
25
asked Evaluating a triple integral by inspection
May
24
asked Proving that average value of $u$ around a circle is the value of $u$ at the centre.
May
12
accepted Evaluating double integrals by inspection
May
12
comment Evaluating double integrals by inspection
Thank you! I think I get it. Since the domain is symmetric, the positive and negative sides cancel out, which leads to zero (for $2y$ term). Thus, the area is $9$. +1
May
12
comment Evaluating double integrals by inspection
@KittyL, I found a type in the question. I forgot the $3x$. Based on this correction, does my conclusion (i.e. application of Green's theorem) make sense?