Stats: 3,184,375 members, 7,923,500 topics. Date: Saturday, 17 August 2024 at 08:25 AM |
Nairaland Forum / Nairaland / General / Education / Nairaland Mathematics Clinic (492346 Views)
Mathematics Clinic / 2015 Cowbell Mathematics Champion, Akinkuowo Honoured By School. / Lead City University Clinic Welcomes First Ever Baby Since 10 Years Of Opening (2) (3) (4)
(1) (2) (3) ... (84) (85) (86) (87) (88) (89) (90) ... (284) (Reply) (Go Down)
Re: Nairaland Mathematics Clinic by Nobody: 9:34am On Oct 24, 2013 |
Laplacian: lol... Paying me back in my own coin, eh? |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 9:52am On Oct 24, 2013 |
Laplacian: ...questn1; find a number which wen multiplied by 7 and d result added to 1 gives a perfect square........for question 3, there is an infinite number of values satisfying 3x + 4y=5, the first being x=-1 and y=2.....when obtaining the other values of x and y, it is observed that x increases by a constant amount of -4 while y increases simultaneously by an amount of 3 i.e: -5 and 5, -9 and 8, -13 and 11, etc |
Re: Nairaland Mathematics Clinic by Nobody: 10:12am On Oct 24, 2013 |
Alpha Maximus: ........for question 3, there is an infinite number of values satisfying 3x + 4y=5, the first being x=-1 and y=2.....when obtaining the other values of x and y, it is observed that x increases by a constant amount of -4 while y increases simultaneously by an amount of 3 i.e: -5 and 5, -9 and 8, -13 and 11, etc The graph of the function is linear, hence having infinite solutions (unless the domain is restricted) for x and y. |
Re: Nairaland Mathematics Clinic by Nobody: 10:25am On Oct 24, 2013 |
There are 4 different letters addressed to 4 people whose addresses are written on four envelopes. How many ways are there of putting the letters in the envelopes such that (a) 3 of the letters are in the wrong envelopes and 1 is in the correct envelope (b) 1 of the letters is in the wrong envelope and 3 are in the correct envelope? |
Re: Nairaland Mathematics Clinic by Nobody: 10:29am On Oct 24, 2013 |
@Laplacian Visit ur page to accept the game. You're on! |
Re: Nairaland Mathematics Clinic by wisemania(m): 10:36am On Oct 24, 2013 |
Wow!!!! I cnt believe dat am just seeing dis thread..thumbs up 2 u guys..av bin tinkin ,since we have xo many maths gurus in d house,y dnt u guys put all dis skills in2 AI(Artificial Intellegence)...mayb in d game design aspect...i made some research lately on d various applications of maths in real life,and 3D game design caught my attention,2 design 3D animations a huge amnt of d Knowledge of Maths and physics is highly needed,and u guys have proven ur worth,i really do respect u guys,Doubledx,jackpot,richie,etc u guyz cn give it a shot,wu knowz we kud be having a 3D game made bye our own Naija Brothers and sisters in d tyme beyond,u guyz kud giv it a try and see 4ur selfs..believe u me u all have got wt it takes 2 do it.if u need mor tips u kud visit d programming section of dis forum some dudes will be willing 2 partner wif u guys...this is just my sugestion ,ibeg make una no flog me ooo,am awear am digresing 4rm d main aim of dis thread and am v.sorry abt dat,am only trying 2b nice..ill check bak 2 c ur responses.thanks for reading. 1 Like |
Re: Nairaland Mathematics Clinic by Richiez(m): 10:46am On Oct 24, 2013 |
Dekins88: Boss seems richiez is busy these days, he is now one of the moderators in the education sector, I have been following this thread from the inception. Boss it been a long time we've seen your handiwork on mathematics ooooooYep that's true! although i'v been following up every post. and would always be here whenever anyone calls on me. THanks to Doubledx and Laplacian for solving Jackpot's question. I was extremely busy but was very happy to know that my Generals are always up to the task. Alpha maximus and smurfy, I've been watching you guys. keep up the good work. 1 Like |
Re: Nairaland Mathematics Clinic by rhydex247(m): 11:05am On Oct 24, 2013 |
Laplacian: ...G is a group of order 4, show dat G is abelian...Soln. Case 1. Suppose G has an element g of order 3. Then d cyclic subgroup generated by g contains three elements.{g,g^2,g^3=e}, where e is d identity. But the order of every subgroup must divide the order of G, nd dis is a contradiction. So G has no element of order 4. Case 2. G is nt cyclic. Thus G={e,a,b,c} where e is d identity, nd each of a,b nd c has order 2. Nw let us take a look at d multiplicatn table. i dnt knw hw to construct a table here. Buh here is a way 4ward. Draw a multiplicatn table.The ist row is (e,a,b,c), ist column (e,a,b,c) , 2nd row is (e,a,b,c), 3rd row is (a,e,c,b), 4th row is (b,c,e,a) nd d 5th row is (c,b,a,e). Nd nw by inspection, we see dat G is abelian. All is well. |
Re: Nairaland Mathematics Clinic by Laplacian(m): 11:27am On Oct 24, 2013 |
rhydex 247:kudos 2 u...u did a nice wrk... |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 11:46am On Oct 24, 2013 |
smurfy: There are 4 different letters addressed to 4 people whose addresses are written on four envelopes. How many ways are there of putting the letters in the envelopes such that.......here we go: (A) let A, B , C and D be the letters and let a, b , c and d be their respective envelopes When correctly arranged we have; Aa, Bb, Cc, Dd When only one is in the right envelope and the rest are in the wrong envelopes, one of them can't be touched while the remaining three letters can be arranged in 3! =6 ways, since there are only 3 envelopes into which the 3 letters can be put , there are 6/3=2 ways this can be done when one of the letters is still in the right envelope; now, since during the course of these arrangements the four letters at some point in time will be put into their appropriate envelopes, the total number of ways this can be done is 2*4=8 ways (B) this is an invalid question seeing as it isn't possible for only one of them to be in the wrong envelope unless we are assuming its own envelope has been discarded and it shares the same envelope with the letter matching the inhabited envelope meaning there would be two letters in one envelope |
Re: Nairaland Mathematics Clinic by Laplacian(m): 11:54am On Oct 24, 2013 |
Alpha Maximus: ........for question 3, there is an infinite number of values satisfying 3x + 4y=5, the first being x=-1 and y=2.....when obtaining the other values of x and y, it is observed that x increases by a constant amount of -4 while y increases simultaneously by an amount of 3 i.e: -5 and 5, -9 and 8, -13 and 11, etc...very correct... |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 11:59am On Oct 24, 2013 |
Yo Smurfy check out my solution on the 'envelope' question and comment |
Re: Nairaland Mathematics Clinic by Laplacian(m): 12:05pm On Oct 24, 2013 |
rhydex 247:precise...thumbs up... |
Re: Nairaland Mathematics Clinic by Nobody: 12:11pm On Oct 24, 2013 |
Alpha Maximus: Yo Smurfy check out my solution on the 'envelope' question and commentNice try, but both answers are wrong. The answer to (b) is 0. Remember the question says 'how many ways'. Try again on the first one. |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 12:25pm On Oct 24, 2013 |
smurfy:....so technically I was correct for the second ![]() |
Re: Nairaland Mathematics Clinic by Nobody: 12:29pm On Oct 24, 2013 |
Yeah, (un-)technically ![]() You missed something on the first one, and I ain't giving any hint ![]() |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 12:39pm On Oct 24, 2013 |
lets keep solving problem!!! |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 2:47pm On Oct 24, 2013 |
smurfy: Yeah, (un-)technically...... these are the only ways of scrambling three letters and putting one of them in the right place: Aa Bd Cb Dc Aa Bc Cd Db Bb Ac Cd Da Bb Ad Ca Dc Cc Ad Ba Db Cc Ab Bd Da Dd Ab Bc Ca Dd Ac Bc Cb...........that's 8 different formats? what did I miss in this question!!! somebody help!! ![]() ![]() ![]() ![]() |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 2:48pm On Oct 24, 2013 |
Re: Nairaland Mathematics Clinic by Nobody: 3:32pm On Oct 24, 2013 |
@Maximus Correct! I missed out on something earlier. Good job! |
Re: Nairaland Mathematics Clinic by Laplacian(m): 4:27pm On Oct 24, 2013 |
...@Smurfy...all d pieces are alignd vertically on a straight line...how do i make it rectangular?... |
Re: Nairaland Mathematics Clinic by Nobody: 4:36pm On Oct 24, 2013 |
M47h3m471c5.1ncr353 y0ur 1Q.17.3nh4nc35.your.cr3471v17y..57u6y m0r3 0f 17.bu7.d0n7.b3.20b355355.w17h.17 |
Re: Nairaland Mathematics Clinic by Laplacian(m): 4:42pm On Oct 24, 2013 |
benbuks: M47h3m471c5.1ncr353 y0ur 1Q.17.3nh4nc35.your.cr3471v17y..57u6y m0r3 0f 17.bu7.d0n7.b3.20b355355.w17h.17Mathematics increases your IQ...it enhances your creativity...study more of it but dont be obsessed with it... |
Re: Nairaland Mathematics Clinic by Nobody: 4:47pm On Oct 24, 2013 |
Laplacian: ...@Smurfy...all d pieces are alignd vertically on a straight line...how do i make it rectangular?...Change ur phone's image quality settings to high or something like that. That's what I did to my operamini. |
Re: Nairaland Mathematics Clinic by dcitizen1: 4:52pm On Oct 24, 2013 |
The math general in the house, Nobody has done justice to the third question posed by mikebis on page 57 I believe dat he extracted the question from a textbook called bouday u^2/v + v^2/u =12 1/v + 1/u = 1/3. |
Re: Nairaland Mathematics Clinic by Laplacian(m): 5:48pm On Oct 24, 2013 |
smurfy:dat's been done succefully...how do i make a move? |
Re: Nairaland Mathematics Clinic by Nobody: 6:03pm On Oct 24, 2013 |
Laplacian:Now click on the piece u want to move, wait a moment, click on where u want to put it, wait a moment then click Submit. Note: You can play multiple games at the same time. |
Re: Nairaland Mathematics Clinic by Nobody: 6:14pm On Oct 24, 2013 |
d citizen:Reduced to x + y = 1/3 (1) (1/x)^2y + (1/y)^2x = 12 (2). [x = 1/u, y = 1/v]. I'm no maths general though. I'm just here to learn from the Greats... |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 6:15pm On Oct 24, 2013 |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 6:16pm On Oct 24, 2013 |
smurfy: @Maximusso I got it right? ![]() |
Re: Nairaland Mathematics Clinic by Laplacian(m): 6:23pm On Oct 24, 2013 |
d citizen:i guess nobody attemptd it 'cos its straightforwrd...multipy both eqns by uv to get, u^3+v^3=12uv, u+v=uv/3, recall dat u^3+v^3=(u+v)^3-3uv(u+v), d first eqn bcoms (u+v)^3-3uv(u+v)=12uv, substitut 4 u+v frm eqn1 (uv)^3/27-(uv)^2=12uv or (uv)^2-27uv-324=0 or uv=0 or 36 or -9 so dat from u+v=uv/3 u+v=0 or 12 or -3, solvin d quadratics givs, u=6,-4.85 and v=6, 1.85 1 Like |
Re: Nairaland Mathematics Clinic by Laplacian(m): 7:31pm On Oct 24, 2013 |
d citizen: i guess nobody attemptd it 'cos its straightforwrd...multipy both eqns by uv to get, u^3+v^3=12uv, u+v=uv/3, recall dat u^3+v^3=(u+v)^3-3uv(u+v), d first eqn bcoms (u+v)^3-3uv(u+v)=12uv, substitut 4 u+v frm eqn1 (uv)^3/27-(uv)^2=12uv or (uv)^2-27uv-324=0 or uv=0 or 36 or -9 so dat from u+v=uv/3 u+v=0 or 12 or -3, solvin d quadratics givs, u=6,-4.85 and v=6, 1.85 |
(1) (2) (3) ... (84) (85) (86) (87) (88) (89) (90) ... (284) (Reply)
DIRECT ENTRY Admission. / Mastercard Foundation Scholarship, Enter Here / 2016/2017 University of Ibadan Admission Thread Guide.
(Go Up)
Sections: politics (1) business autos (1) jobs (1) career education (1) romance computers phones travel sports fashion health religion celebs tv-movies music-radio literature webmasters programming techmarket Links: (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) Nairaland - Copyright © 2005 - 2024 Oluwaseun Osewa. All rights reserved. See How To Advertise. 57 |