Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Christos

  • 11 months ago

Please fellow open study members, solve with me . Finals countdown 3 hours :P https://www.dropbox.com/s/vwu945w28tgowlp/Screenshot%202014-01-15%2015.09.53.jpg (ANXIETY LEVEL OVER THE TOP)

  • This Question is Closed
  1. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so where are you stuck ?

  2. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @hartnn

  3. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    They are the only problems to which I don't have solutions , and I also have infinite series to cover , if you give me what I lack, it would be of a great help at the current situation ! :(

  4. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    link is not opening for meh

  5. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    http://screencast.com/t/WittgfBhztpV

  6. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just tell me what do I do

  7. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    for the third one

  8. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    after the long division , then what

  9. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    before we dive in, two things to keep in mind :- 1) we can integrate ANY/EVERY rational function 2) to use partial fractions, degreem of numerator must always be LESS than degree of denominator

  10. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    *degree

  11. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    *reading carefully*

  12. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah, thats the reason she did long division for 3rd

  13. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so, you must have something like x/x^2+1 ,right ??

  14. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hint : d/dx (x^2+1) = 2x

  15. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so take u = x^2+1 , du =...

  16. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    for first example, since degree of numerator < degree of denominator, next do below steps :- step1 : factor the denominator ive seen hartnn explaining partial fractions excellently before... so i give u hartnn :)

  17. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    @hartnn ... plz continue if u have time :)

  18. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i have like 3 minutes :P

  19. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    and im sure, u can make Christos understand half of calculus in less than 3 minutes ;)

  20. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    probably, if she is sitting right in front of me ;)

  21. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    she is intenting a new study method called parallel processing !!

  22. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I am just kidding

  23. hartnn
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 1

    times up :P i need to rush b4 my bus leaves without me :P be back online when i reach home..

  24. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    oh hartnn you're in office ha ... runn.. il see if i can do some justice in explaining partial fractions :)

  25. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \(\large \frac{1}{x^2+3x-4}\) factor the denominator \(\large \frac{1}{(x-1)(x+4)}\)

  26. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    step2 : break left fraction into sum of fractions :- \(\large \frac{1}{(x-1)(x+4)} = \frac{A}{x-1} + \frac{B}{x+4}\) find A and B

  27. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    answer: 1/5ln|x-2| - 1/5 ln|x+4| + C

  28. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it ?

  29. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    thats right !

  30. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lets go 2nd

  31. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do I need to factor the denominator here ?

  32. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, factoring IS the first step

  33. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    and ofc, the 0th step is long-division :)

  34. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A/x b/x+1 C/x+1

  35. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    B/x-1 * * *

  36. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    step1 : factor denominator \(\large \frac{1}{x(x^2-1)} \) \(\large \frac{1}{x(x-1)(x+1)} \)

  37. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A B C: http://screencast.com/t/a5HayvjoOi

  38. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    step2 : wrote the fraction as sum of simple fractions \(\large \frac{1}{x(x-1)(x+1)} = \frac{A}{x} + \frac{B}{x-1} + \frac{C}{x+1}\) solve A, B, C

  39. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes looks good, solve A, B, C

  40. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I hope you are not leading me into a teaching trap at the current moment huh :D

  41. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok ok I solve it now

  42. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    whats teaching trap lol im no teacher... guess im more toward a professor who screws his students hmm lol

  43. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok I can't solve this, whats the next step :D

  44. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if x = 1 denominator is undefined A.k.A me missing something

  45. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    there is a small trick to solve this, it wont take any time to learn the trick. let me show u how to find A, B, C super fast

  46. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \(\large \frac{1}{x(x-1)(x+1)} = \frac{A}{x} + \frac{B}{x-1} + \frac{C}{x+1}\) to sovle A : Multuply the whole equation wid \(x\), and plug \(x = 0\) \(\large \frac{1}{(x-1)(x+1)} = A + \frac{Bx}{x-1} + \frac{Cx}{x+1}\)

  47. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    when u plug \(x = 0\), everything on right side cancels away, except \(A\)

  48. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -1

  49. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \(\large \frac{1}{(0-1)(0+1)} = A + 0 + 0\) solve A

  50. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    yes, A = -1

  51. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yesyes

  52. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    similarly find B and C

  53. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x = ?

  54. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \(\large \frac{1}{x(x-1)(x+1)} = \frac{A}{x} + \frac{B}{x-1} + \frac{C}{x+1}\) to find B :- multiply the whole equation wid \((x-1)\) and plugin \(x = 1\) \(\large \frac{1}{x(x+1)} = \frac{A(x-1)}{x} + B + \frac{C(x-1)}{x+1}\)

  55. Christos
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and then the main fraction is undefined..

  56. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    how ?

  57. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \(\large \frac{1}{x(x+1)} = \frac{A(x-1)}{x} + B + \frac{C(x-1)}{x+1}\) plugin x = 1 \(\large \frac{1}{1(1+1)} = 0 + B + 0\)

  58. ganeshie8
    • 11 months ago
    Best Response
    You've already chosen the best response.
    Medals 3

    il let u solve C :)

  59. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.