₦airaland Forum

@richiez, u still havnt postd d mathematical induction soln

@richiez, i still dey wait

@doubledx & richiez. Keep d gud work going jor

Richiez: @youngryce, ur questions carry weight oh, but as usual, i'l get the solutions

na so we see am o. d man jst wake one morning carry 50 questns hammer us

Na dem b dis
Prove by induction that for any two nos a & b, & for any nEN that
(a+b)^n = a^n + na^(n-1)b + [n(n-1)/2!]a^(n-2)b^(2) + ...+ [n!/(n-k)!k!]a^(n-k)b^k + ... + b^(k)


2. prove d existence theorem of laplace transform
3. show L[f"(t)] = s^2F(s) - sf(0) - f'(0)
4. using the methods of contour intergration & convolution theorem, evaluate
L^-1{1/(s+1)(s^2+1)} &
L^-1{1/(s-2)(s-1)^2}

Richiez: @everyone, sorry for my disappearing act, i was fixing my modem. i'm back so let's roll

abeg o. Help me fix my problems. E still plenty wey i need post

Ghettoguru: Bros you be engineering student? Make you dey help others make others dey help you too naw. How u see am bro? Abeg no vex o, na so we dey do am here since sha.

ok sir

abeg gurus help wit dis one
1. prove d existence theorem of laplace transform
2. show L[f"(t)] = s^2F(s) - sf(0) - f'(0)
3. using the methods of contour intergration & convolution theorem, evaluate
L^-1{1/(s+1)(s^2+1)} &
L^-1{1/(s-2)(s-1)^2}

Abeg, una don 4get dis one.
Prove that for any two nos a & b, & for any nEN that
(a+b)^n = a^n + na^(n-1)b + [n(n-1)/2!]a^(n-2)b^(2) + ...+ [n!/(n-k)!k!]a^(n-k)b^k + ... + b^(k)

Richiez: N- represents natural numbers, i.e positive whole numbers such as; 1,2,3,4....
multiples of 3 are numbers dat divide 3 without remainder.
first, let us see if the statement ir true for n=1
11^1 - 8^1 =
11-8 = 3 ....statement is true
again, let us see if the statement is true for n=2
11^2 - 8^2 = 121 - 64 = 57 ....this is a multiple of 3 so statement is true

now, let's assume that it is true for n=k
11^k - 8^k ...is true

to assert this, we must show that it is also true for n=k+1 11^(k+1) - 8^(k+1) 11*(11^k) - 8*(8^k) which can further be splitted as;
3(11^k) + 8(11^k) - 8(8^k)
3(11^k) - 8(11^k - 8^k)
now looking at the above expression; the first part is multiplied by 3 and is clearly a multiple of 3.
the other part is a multiple of the expression n=k which in turn is a multiple of 3

PROVEN

guru. 10 gbosa 4 u. Abeg, e get anoda one.
Prove that for any two nos a & b, & for any nEN that
(a+b)^n = a^n + na^(n-1)b + [n(n-1)/2!]a^(n-2)b^(2) + ...+ [n!/(n-k)!k!]a^(n-k)b^k + ... + b^(k)

Richiez: well then, i think it is a typographical error. if i am to guess, the' J' should be replaced by '3'

lets take it 2 be 3. Hw will go about it

Richiez: QUESTION 1

2^(2x) = 3^(x+4)
Taking log of both sides;
log[2^(2x)] = log[3^(x+4)]

2xlog2 = (x+4)log3
(x+4)/2x = log2/log3
x/2x + 4/2x = log2/log3
1/2 + 4/2x = 0.63093
4/2x = 0.63093 - 1/2
4/2x = 0.63093 - 0.5
4/2x = 0.13093
cross multiplying;
2x = 4/0.13093
2x = 30.55
x = 30.55/2
x = 15.275 (approx)

QUESTION 2
2. Prove by inductn
11^(n) - 8^(n) is the multiple of J for all nEN

i don't quite get you, by 'J' do you mean complex number?

i tink so. Dats hw d questn was given

Abeg, i need help wit dis
2^(2x) = 3^(x+4)

2. Prove by inductn
11^(n) - 8^(n) is the multiple of J for all nEN

jehovahnoni: Excuse me...ill-mannered castigator,what is d major reason u tink made pple get into education....is it for d knowledge or beauty ? NO!,oh u thought pple will just suffer deir self on education just for dem to sit at home wit deir qualification....dat is bullshit,it is for dem to get employment...everybody wanna get paid,wats wrong wit ur reasoning faculty?.Ok,ure bloughing about industrial maths,tell me hw many industries we have here in nigeria dat is willing to employ a mathematician if not a engineer...n if dey do,did u knw dat it will b competitive,bcus everybody wants dsame tin nd d spaces are small...if u lyk go to havard nd study industrial maths,comeback to nigeria for employment nd c if its easy,den u will use ur paper to sell pop corn.It does not matta where u school,wat matters is wat u studied,moreover poly is the best institution for any engineering courses,if ure wishin for engineering in d university...u will get stuffed wit numerious theories n a little practical,but in d poly...d equation is balanced.Pls,my ultimate advice to anybody in d pool of choosin a career,try nd weigh all of dem u av interest in,knw deir importancy,employment potential nd availability here in nigeria,also review urself nd knw ur capacity in each career,den add oda factors i highlighted above....pls pls pls.Dont choose a career bcus of d school,fancy or beauty,bcus life is a game.....PLAY WISE.Thanks

pls dude, read d post 'if u want 2 b rich n happy, dnt go 2 skul'. & it aint my post sef

Ola2much: i'm kinda confused.bt all i know is dat a decision has to be granted.i tink yabatech still avin d upper vote bt acceptance fee has already been paid to unilorin.

truth b told my guy, no 1 can make d decision 4 u. We can only help u wit d pros n cons. D rest is left 2 u. I also got ad 2 both mouau & yct nd i hv made my choice. Its now ur turn

brainy02: u dont need to alwayz point fingers before u make ur point.....
Just drop ur own bit of knowledge and let the concerned person picks whichever he/she deems fit to be worthy to take..... U are really fond of doing this every now and again.....

Castigate not but be heard! It as simple as that... Everyone is learning!

i'll try but cant promise nofin. dis is me; i dnt lyk 2 hide my mouth, i jst say it d way it is in my mind n i blive same applies 2 evry1

jehovahnoni: both ar good courses at great schools,look for what u love inside both of em courses.but to me ,i advice u choose d one wit more employment potentials...wich is civil eng.

goin 2 higher institutn jst 4 job opportunity is ill conceivd nd if im 2 go by u, den u r wrong. Dat maths he is given is otherwise 'industrial maths' which is also a professional course & in a degree awardin institutn like u.i. Get ur facts right b4 postin cuz maths @ u.i has more opportunities compared 2 engr at any poly. either way, we all knw d poster is neva goin 2 dump a uni 4 poly

brainy02: good for u! But experience teaches that u dont count ur chick before it hatch........
Forget jamb but wait for the official list

make he 4get jamb, very funi. im taking it dat ur own name wasnt dere which is y u r so negative

brainy02: For the love of urself, u lot should stop decieving urself with this jamb stuff of a thing....... Jamb isnt the one admitting u but yabatech.

Wait until the official lists are being pasted on the sch website and also on the notice board of respective departments.....

If u see that jamb says u have been admitted then go and get ur self prepared to jamb university if there is any but as for yabatech nothing has surface yet......

Cheers!

who is deceivn who. My name is shining brightly on d website n who is responsible 4 admission if not jamb. Watch ur mouth. U could hv said we wait 4 a confirmatory list 4rm yabatech n not d jargons u wrote up here

Silaswap: I no blame u if nobody scam u 4 post utme one day someone else will scam u 4 some other things u need in dis life. Mark my words.

ur words r trash. if sm1 scammed u doesnt mean others shld fall prey. u mark ur own words. once beaten, twice shy

Silaswap: I pray u get scammed one day so u'll know how painful it is.

funi, veri funi. i no fit dey 4 my house make dey cum scam me. if u were sure of gettin 70%, shey dem go scam u. 25%, wat a pity

@silas, u c wetin ur olodo dey cause. if 2 say u open book read, shey all dis wahala 4 dey. either way, i tot dis forum was bout VNTI+. banning ayodeji only complicates tins cuz he is jst goin 2 get anoda username n continue where he stopped when u can actually monitor him now dat diz allegatns has bn made. &truth b told, d ayodeji's story sounds more credible compared 2 dear mr silas who is shouting bloody murder witout admitting any faults

na wa o, in dis age n time. i tot dat wen sm1 refused 2 make a comment, it meant dat he is tryn 2 make ppl blive dat d allegatns made against him were trash but our dear educatnalsts take it as a thieves' prank (not as if he didnt reply at all). i might not hv bn involvd wit payment 2 him or any other internet based org but d dude has workd hard 2 build his reputatn not cuz i dnt find sm of dem credible but its all bout info n i alreadi hv dat n lyk doin tins mysef no mata d cost. d most annoyin part of all dis is dat d guy wit d claim has neva bn affectd, dey r always reporting 4 sm1 else (jst rememba wat d bible says bout damagn sm1 image)

I hv bn quiet here 4 a yle cuz i didnt do well in d exam & i dnt hv any hope in futa dis yr so i lost interest but 2 doz dat hv above 50 in pume & hv not seen their name, d only option nw is 2 get d change of course form wen it is out cuz witout it futa wont evn consida u in subsiquent lists no matter wat ur score is

r d bank collecting extra charges i.e bank charge other dan d #1000 we r 2 pay?

Ejaisky: Nonsense... What is in a University's name?

U don go harvard b4, shey no b d name u dey hear buh u go want make ur children go d skul. dey no teach u 4 skul say its all bout brand marketin nd our dear presido jst made up a brand ova nyt nd threw away a 50yr old trustd brand. if na u, shey u go gree make person wey u no knw give u anoda peson name wey u also no knw. either way if sleepin dogs r let 2 let ly, wat nxt r we 2 expect. dis is supposed 2 b a frigging democracy. evn as powerful as obama is, he cant change harvard's or yale, caltech etc witout d approval of d skul. d subsidy issue ne unilag renaming jst shows hw powerful our govt is nd hw powerless d masses r. a govt 4 d pple abi, utter rubbish. as a bros here on nlnd said, if only we could import president (d only tin missing in our ports)

If u have done ur exam, signify so we can discuss. Was it had or easy nd hw do u see d computer based test

Exam starts 2mao. Hw prepared r u. Dont forget 2 go 2 d CRC centre wit all d required documents. writing materials r not needed as they will b provided @ d exam centre

Exam tins. Hw r u guys preparing.
Jst laid my hands on d 'number of candidate' per course dat choose futa. I will paste it here afta d exams.
Best of wishes

osogwu: must u create an account b/4 u confirm your payment.i receive error message saying page cannot display

Dat is 4 undergraduate. U dont need 2 create any account

Dygeasy: i'm still being told utme registration no incorrect or you didnt score up to 200 wen I wanted 2 verify my payment..and now its tuesday..somebody help

d error is 4rm ur typin. Carefully type ur confirmation code den ur registration number. U probably mistyped one of them or both. Gudluck

registration has commenced. u can now register. 1st confirm ur payment then it will take u 2 d reg page. its quite easy