Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

SkykhanFalcon Group Title

\[\int\limits_{C}^{}dz/z\] where c consists of three line segments: From z = 1 to z = 1-i From z = 1-i to z = -1-i From z = -1-i to z = -1

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. agentx5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    At first I though this wasn't going to be so hard, but then I read the sub-instructions >_< @amistre64 , @TuringTest , any insight on this one guys? PS: You did post ALL the contextual information for this one this time right @SkykhanFalcon ? ;-) (/me remembers your last super-challenging differentials question)

    • 2 years ago
  2. agentx5 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    There's no special initial conditions, restrictions, or anything like that right?

    • 2 years ago
  3. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    :) yeah i remember, for now there is not :)

    • 2 years ago
  4. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    this appears to be the same question that was posted earlier

    • 2 years ago
  5. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @experimentX dude i could not do that :/

    • 2 years ago
  6. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    and today is the last day :/

    • 2 years ago
  7. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    which one??

    • 2 years ago
  8. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    they are all connected

    • 2 years ago
  9. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i think i already did the first one.

    • 2 years ago
  10. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    you found sqrt2-i(pi)/4

    • 2 years ago
  11. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i am not sure it is true or not

    • 2 years ago
  12. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what's the answer supposed to be??

    • 2 years ago
  13. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    final answer should be -(pi)*i

    • 2 years ago
  14. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    for question no 1??

    • 2 years ago
  15. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no they are connected each other book says only an answer and it is -(pi)*i

    • 2 years ago
  16. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    O ... let's see for 2

    • 2 years ago
  17. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1343076384065:dw|

    • 2 years ago
  18. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1343076480604:dw|

    • 2 years ago
  19. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1343076552517:dw|

    • 2 years ago
  20. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1343076614227:dw|

    • 2 years ago
  21. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1343076688932:dw| sorry man ... i couldn't get any better

    • 2 years ago
  22. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    :) okey bro thanks again

    • 2 years ago
  23. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @mukushla @richyw @eliassaab any idea ?

    • 2 years ago
  24. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Have you had the residue theorem?

    • 2 years ago
  25. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes i guess

    • 2 years ago
  26. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    but i did not learn well :/

    • 2 years ago
  27. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    If you know the Residue Theorem you can cut your work from computing three line integrals to one.

    • 2 years ago
  28. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Your line integral on the first line is z = 1 +i y dz = i dy \[ \int_0^{-1} \frac{i}{1+i y} \, dy=\frac{1}{4} (\ln(4)-i \pi ) \]

    • 2 years ago
  29. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Mimic my post above for 2 remaining lines.

    • 2 years ago
  30. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm then will i continue with 1/4(ln4.... or i always use the i/1+iy

    • 2 years ago
  31. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @eliassaab ?

    • 2 years ago
  32. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    for the second integral z= x -I dz = dx \[\int_1^{-1} \frac{1}{x-i} \, dx=-\frac{1}{2} (i \pi ) \]

    • 2 years ago
  33. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    how can i understand the integral part for ex. why the second one become 1/x-i

    • 2 years ago
  34. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    How much is y on the second line? -1 How much is x on the seconfd line? x from 1 to -1 z= x -i

    • 2 years ago
  35. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    On the third line z= -1 + i y dz= i dy \[ \int_{-1}^0 \frac{i}{-1+i y} \, dy \]

    • 2 years ago
  36. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i understand i guess thank u :)

    • 2 years ago
  37. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    \[ \int_{-1}^0 \frac{i}{-1+i y} \, dy=-\frac{1}{4} i (\pi -2 i \log (2)) \]

    • 2 years ago
  38. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    log=ln

    • 2 years ago
  39. SkykhanFalcon Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thank u so much :)

    • 2 years ago
  40. eliassaab Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yw

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.