Recent content by lyranger

  1. L

    Application of Cauchy's residue theorem

    sorry for not using LaTex, haven't used this forum in ages. And thanks so much for the help! very smart move! Correct me if I am wrong, the answer is 4i*pi?
  2. L

    Application of Cauchy's residue theorem

    Really need help for this one. Cheers! Homework Statement Question: calculate function z/(1-cos z) integrated in ac ounterclockwise circular contour given by |z-2pi|= 1 Homework Equations The Attempt at a Solution Clearly the pole in the given contour is 2pi. But the problem is: if it's a...
  3. L

    Convert a region into a rectangle

    let u=y/(a^1.5-x^1.5)^2/3 and v=x/(a^1.5-y^1.5)^2/3 got 0 for this let u=y/(a^1.5-x^1.5)^2/3 and v=x/y this got really nasty so i just don't know the trick of findin proper v and u
  4. L

    Convert a region into a rectangle

    Homework Statement Let R be the region bounded by x^3/2+y^3/2=a^3/2 (x>0, y>0) and the coordinate axes x=0, y=0. Express it in double integral over a rectangle. Homework Equations The Attempt at a Solution How to solve this people please? I tried a couples time but failed to find v u which...
  5. L

    Cos(2n)/n^0.5 convergent or not?

    zz i was trying to prove it. but anyway thanks a lot for all the effort with excel mate
  6. L

    Cos(2n)/n^0.5 convergent or not?

    Sorry it's the sum of cos(2n)/n^0.5 for n from 1 to infinity
  7. L

    Cos(2n)/n^0.5 convergent or not?

    How to determine if cos(2n)/n^0.5 is convergent? I've tried summation by parts and other methods but none of them works. Hope someone can help me. Cheers Sorry its the sum where n goes from 1 to infinity
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