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Christos
Group Title
Please fellow open study members, solve with me . Finals countdown 3 hours :P https://www.dropbox.com/s/vwu945w28tgowlp/Screenshot%2020140115%2015.09.53.jpg (ANXIETY LEVEL OVER THE TOP)
 10 months ago
 10 months ago
Christos Group Title
Please fellow open study members, solve with me . Finals countdown 3 hours :P https://www.dropbox.com/s/vwu945w28tgowlp/Screenshot%2020140115%2015.09.53.jpg (ANXIETY LEVEL OVER THE TOP)
 10 months ago
 10 months ago

This Question is Closed

hartnn Group TitleBest ResponseYou've already chosen the best response.1
so where are you stuck ?
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.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 ! :(
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
link is not opening for meh
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
http://screencast.com/t/WittgfBhztpV
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
just tell me what do I do
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
for the third one
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
after the long division , then what
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.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 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
*degree
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
*reading carefully*
 10 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
yeah, thats the reason she did long division for 3rd
 10 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
so, you must have something like x/x^2+1 ,right ??
 10 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
hint : d/dx (x^2+1) = 2x
 10 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
so take u = x^2+1 , du =...
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.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 :)
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
@hartnn ... plz continue if u have time :)
 10 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
i have like 3 minutes :P
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
and im sure, u can make Christos understand half of calculus in less than 3 minutes ;)
 10 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
probably, if she is sitting right in front of me ;)
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
she is intenting a new study method called parallel processing !!
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
I am just kidding
 10 months ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
times up :P i need to rush b4 my bus leaves without me :P be back online when i reach home..
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
oh hartnn you're in office ha ... runn.. il see if i can do some justice in explaining partial fractions :)
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
\(\large \frac{1}{x^2+3x4}\) factor the denominator \(\large \frac{1}{(x1)(x+4)}\)
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
step2 : break left fraction into sum of fractions : \(\large \frac{1}{(x1)(x+4)} = \frac{A}{x1} + \frac{B}{x+4}\) find A and B
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
answer: 1/5lnx2  1/5 lnx+4 + C
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
thats right !
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
lets go 2nd
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
do I need to factor the denominator here ?
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
yes, factoring IS the first step
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
and ofc, the 0th step is longdivision :)
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
A/x b/x+1 C/x+1
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
B/x1 * * *
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
step1 : factor denominator \(\large \frac{1}{x(x^21)} \) \(\large \frac{1}{x(x1)(x+1)} \)
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
A B C: http://screencast.com/t/a5HayvjoOi
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
step2 : wrote the fraction as sum of simple fractions \(\large \frac{1}{x(x1)(x+1)} = \frac{A}{x} + \frac{B}{x1} + \frac{C}{x+1}\) solve A, B, C
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
yes looks good, solve A, B, C
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
I hope you are not leading me into a teaching trap at the current moment huh :D
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
ok ok I solve it now
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
whats teaching trap lol im no teacher... guess im more toward a professor who screws his students hmm lol
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
ok I can't solve this, whats the next step :D
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
if x = 1 denominator is undefined A.k.A me missing something
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.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
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
\(\large \frac{1}{x(x1)(x+1)} = \frac{A}{x} + \frac{B}{x1} + \frac{C}{x+1}\) to sovle A : Multuply the whole equation wid \(x\), and plug \(x = 0\) \(\large \frac{1}{(x1)(x+1)} = A + \frac{Bx}{x1} + \frac{Cx}{x+1}\)
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
when u plug \(x = 0\), everything on right side cancels away, except \(A\)
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
\(\large \frac{1}{(01)(0+1)} = A + 0 + 0\) solve A
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
yes, A = 1
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
similarly find B and C
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
\(\large \frac{1}{x(x1)(x+1)} = \frac{A}{x} + \frac{B}{x1} + \frac{C}{x+1}\) to find B : multiply the whole equation wid \((x1)\) and plugin \(x = 1\) \(\large \frac{1}{x(x+1)} = \frac{A(x1)}{x} + B + \frac{C(x1)}{x+1}\)
 10 months ago

Christos Group TitleBest ResponseYou've already chosen the best response.0
and then the main fraction is undefined..
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
\(\large \frac{1}{x(x+1)} = \frac{A(x1)}{x} + B + \frac{C(x1)}{x+1}\) plugin x = 1 \(\large \frac{1}{1(1+1)} = 0 + B + 0\)
 10 months ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
il let u solve C :)
 10 months ago
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