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Nairaland Forum / Nairaland / General / Education / Nairaland Mathematics Clinic (492781 Views)
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Re: Nairaland Mathematics Clinic by biolabee(m): 9:19am On Jan 16, 2013 |
Yes i guess you just observed the tone of his posts is annoying to say d least.. why are you even answering d guy 1 Like |
Re: Nairaland Mathematics Clinic by Nobody: 9:30am On Jan 16, 2013 |
johnpaul1101: a question which goes like this: an equilateral triangle with the lengths of its sides given in terms of a and b, the length are as follows The sides of an equilateral triangle are equal so basically, 4a = 3b .....eqn (1) And also a+b+3 = 3b a = 2b - 3 .....eqn (2) Substitute eqn (2) in eqn (1) 4(2b - 3) = 3b 8b - 12 = 3b 5b = 12 b = 2.4 Substitute b in eqn (2) a = 2(2.4) - 3 a = 1.8. Now the length of each of the sides is, 3b = 3*(2.4) = 7.2cm or 4a =4 *(1.8 ) = 7.2 cm 2 Likes |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 9:42am On Jan 16, 2013 |
wow, this is gr8, it didnt even took u up to 5 minutes 2 solve it |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 9:45am On Jan 16, 2013 |
mayb u can still help me with this: a cyclist cycles for x hours at 12km/h and y hours at 18km/h. Altogether she cycles 78km in 5 hours, find x and y |
Re: Nairaland Mathematics Clinic by biolabee(m): 9:51am On Jan 16, 2013 |
johnpaul1101: mayb u can still help me with this: a cyclist cycles for x hours at 12km/h and y hours at 18km/h. Altogether she cycles 78km in 5 hours, find x and y x + y = 5 12x + 18y = 78 Solve with substitution method x = 2 y = 3 Even if u use guess work u go get am 2 Likes |
Re: Nairaland Mathematics Clinic by Richiez(m): 9:56am On Jan 16, 2013 |
johnpaul1101: Bring them on |
Re: Nairaland Mathematics Clinic by Nobody: 10:00am On Jan 16, 2013 |
johnpaul1101: mayb u can still help me with this: a cyclist cycles for x hours at 12km/h and y hours at 18km/h. Altogether she cycles 78km in 5 hours, find x and y Total time is xhrs + yhrs = 5hrs eqn (1) And x = 5 -y Speed = distance/time total distance therefore 12x + 18y = 78 km ...eqn (2) Substitute x in eqn (2) 12(5 - y)+ 18y = 78 60 -12y + 18y = 78 6y = 18 y = 3 Substitute y in eqn (1) x = 5 - y x = 5 - 3 x = 2 |
Re: Nairaland Mathematics Clinic by Nobody: 10:01am On Jan 16, 2013 |
biolabee: Thanks jor, the guy's questions are too boring ![]() |
Re: Nairaland Mathematics Clinic by Nobody: 10:06am On Jan 16, 2013 |
Nice work people. Greetings! |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 10:11am On Jan 16, 2013 |
my questions might luk 2 boring, but its always gud 2 go back 2 jss calculations, nd dats wat i'm trying 2 do but i keep getting confused and frustrated, plz tell me rechiez, how can i b like u? |
Re: Nairaland Mathematics Clinic by Richiez(m): 10:25am On Jan 16, 2013 |
johnpaul1101: my questions might luk 2 boring, but its always gud 2 go back 2 jss calculations, nd dats wat i'm trying 2 do but i keep getting confused and frustrated, plz tell me rechiez, how can i b like u? well, basically i'd say it's a gift to be good at logical reasoning just like it is a gift to be able to sing very well. However, in the introductory part of this thread, i gave the following tips and i hope this helps you out; 1. you have to develop a great interest for maths, and have that strong desire to become a maths guru. 2. Realize that there's nothing magic about mathematics. 3. make friends with people who appreciate mathematics. 4. practise as many maths questions as possible, starting from the very simple ones to more complex ones. develop the urge to solve them on your own, but you can always seek for assistance whenever you get hooked. 5. do not forget any new thing you have learnt, keep reviewing them. 6. learn to memorize some basic maths formulas as this will build your confidence. GOOD LUCK ![]() 2 Likes |
Re: Nairaland Mathematics Clinic by Richiez(m): 10:31am On Jan 16, 2013 |
doubleDx: Nice work people. Greetings!greetings bro i wana make 5 people the maths generals in this thread...you are on my list....lol 3 Likes |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 10:41am On Jan 16, 2013 |
Richiez:thanks guy, i'll try 2 keep 2 this standards |
Re: Nairaland Mathematics Clinic by Nobody: 11:04am On Jan 16, 2013 |
Ghettoguru: Thanks guys. Help with these questions please. p - q - r = -4 p^2 - q^2 - r^2 = -12 p^3 - q^3 - r^3 = -34 Lets first simplify the equations by dividing through by -1 => q + r - p = 4 .....(1) q^2 + r^2 - p^2 = 12 .....(2) q^3 + r^3 - p^3 = 34 .......(3) Remember from the previous equations we solved on this thread that => q^2 + r^2 can be rewritten as (q + r)^2 - 2qr q^3 + r^3 can be rewritten as (p + r)^3 - 3qr (q + r) From (1) q + r = p + 4 ......(4) We can now substitute equation (4) into equation (2) to express qr in terms of p. Substituting yields => (p + 4)^2 - 2qr - p^2 = 12 2qr = 8p +16 - 12 2qr = 8p + 4 qr = 4p + 2 .....(5) Next is to substitute the expression for qr = 4p +2 and (q + r) = p + 4 in equation (3) => q^3 + r^3 - p^3 = 34 .......(3) (p + r)^3 - 3qr (q + r) - p^3 = 34 (p + 4)^3 - 3(4p + 2)(p + 4) - p^3 = 34 Expanding and simplifiying=> (p + 4)(p^2 + 8p + 16) - 3(4p^2 + 18p + 8 ) - p^3 = 34 -6p = 34 - 40 :. p = 1 You can now substitute p in equations (1) and (2) to determine the values of q and r. I hope that helps. 1 Like |
Re: Nairaland Mathematics Clinic by Nobody: 11:07am On Jan 16, 2013 |
Richiez: Lmao ![]() |
Re: Nairaland Mathematics Clinic by Richiez(m): 11:09am On Jan 16, 2013 |
Good work doubledx, ositadima1, biolabee and ghetoguru, nice job! |
Re: Nairaland Mathematics Clinic by biolabee(m): 12:22pm On Jan 16, 2013 |
Good job guys....I am really learning a lot of long-forgotten concepts Brain don dry finish ![]() Guys bring up more but I don forget all those div, grad n curl o 1 Like |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 12:55pm On Jan 16, 2013 |
thanks richiez, it worked, it's really gud 2 go back 2 old school work 2 refresh memory, this is really a site for mathematicians like u nd ur frnds(osita and co), keep it up |
Re: Nairaland Mathematics Clinic by Richiez(m): 1:08pm On Jan 16, 2013 |
johnpaul1101: thanks richiez, it worked, it's really gud 2 go back 2 old school work 2 refresh memory, this is really a site for mathematicians like u nd ur frnds(osita and co), keep it up It feels good to touch lives positively ![]() ![]() ![]() ![]() ![]() 3 Likes |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 1:32pm On Jan 16, 2013 |
in a positive numbr of two digits, the sum of the digits is 15. If the digits are interchanged, the numbr is increased by 9. Find the numbr |
Re: Nairaland Mathematics Clinic by Richiez(m): 2:15pm On Jan 16, 2013 |
johnpaul1101: in a positive numbr of two digits, the sum of the digits is 15. If the digits are interchanged, the numbr is increased by 9. Find the numbrSOLUTION let the number be xy x + y =15 .............(1) we now know that tens is x and units is y 10y+x = 10x+y + 9 10y-y-10x+x = 9 9y - 9x = 9 ............(2) dividing through eqn(2) by 9 we get; y - x = 1 ..............(3) now, we cansolve eqn(1) and eqn(3) simultaneously from eqn(3); y=x+1 hence we substitute this for y in eqn(1) x + x+1 = 15 2x=15-1 2x=14 x=7 since y=x+1 y=7+1 = 8 recall that the number is xy therefore '78' is that number 3 Likes |
Re: Nairaland Mathematics Clinic by Richiez(m): 2:18pm On Jan 16, 2013 |
@johnpaul, don't feel too bad that we solve your questions too easily, just bring them on....simple or difficult but make sure you're bring them so that it can build your mathematics skills, and not to test us. one love 3 Likes |
Re: Nairaland Mathematics Clinic by JahMan1: 3:06pm On Jan 16, 2013 |
Richiez:Impressive! I love the spirit. I also expect serious-minded students/undergraduates to ask as many questions as possible here if they want to learn. Nigerians need to learn to face math challenges that the Asians and develop our IQ. As someone who has lectured mathematics in a university,I endorse you and I love your spirit of sharing knowledge. May God bless you. 2 Likes |
Re: Nairaland Mathematics Clinic by Johncasey(m): 3:13pm On Jan 16, 2013 |
Evaluate d cube root of (10+6*sqrt of 3) |
Re: Nairaland Mathematics Clinic by JahMan1: 3:21pm On Jan 16, 2013 |
solomon111: I dread statistics. Solomon111 please I beg you to allow Richiez to address the problems as they come.Especially as he was the one that opened the thread. I have read your solutions and will not want to be an umpire here,but for you to call a subset of mathematics the real mathematicians makes me to wonder. If you dread statistics,which is basically inference,probability,stochastic methods(probabilistic),quality control,operations research,non-parametric methods,decision theory, will you then be confident with serious analysis? Real analysis,topological spaces,math methods,ord and partial diff equations,linear and abstract algebra,set theory/logic,numerical analysis & optimization theory,measure theory(lebesgue measure & integration),metric spaces,elasticity,complex variables,vector and tensor analysis,etc. You must be exceptional to find all those cheaper than statistics. 4 Likes |
Re: Nairaland Mathematics Clinic by Nobody: 3:34pm On Jan 16, 2013 |
^@Jah man, nice one... |
Re: Nairaland Mathematics Clinic by Richiez(m): 3:45pm On Jan 16, 2013 |
Johncasey: Evaluate d cube root of (10+6*sqrt of 3)i think binomial theorem might be a useful tool here...wud reply u later |
Re: Nairaland Mathematics Clinic by johnpaul1101(m): 5:39pm On Jan 16, 2013 |
Richiez: @johnpaul, don't feel too bad that we solve your questions too easily, just bring them on....simple or difficult but make sure you're bring them so that it can build your mathematics skills, and not to test us. one lovei cant believe u wud say this richiez, i told u dat i'm preparing for my s.waec, and wen i found out about u and dis site, i was so impressed, because i've had so many problems in maths, those dat i couldnt solve was wat i posted nd fortunately, u nd ur felo mathematicians helped me, i still have many unanswered mathematical question i wud luv u 2 help me with, but no airtime..........moreover......i wouldnt dare.....bsides, wat gives u d feeling dat i'm trying 2 test u? |
Re: Nairaland Mathematics Clinic by Richiez(m): 6:04pm On Jan 16, 2013 |
johnpaul1101: i cant believe u wud say this richiez, i told u dat i'm preparing for my s.waec, and wen i found out about u and dis site, i was so impressed, because i've had so many problems in maths, those dat i couldnt solve was wat i posted nd fortunately, u nd ur felo mathematicians helped me, i still have many unanswered mathematical question i wud luv u 2 help me with, but no airtime..........moreover......i wouldnt dare.....bsides, wat gives u d feeling dat i'm trying 2 test u? oh i'm very very sorry i got the wrong impression....okay we all are here to help you okay? |
Re: Nairaland Mathematics Clinic by Nobody: 6:10pm On Jan 16, 2013 |
johnpaul1101: i cant believe u wud say this richiez, i told u dat i'm preparing for my s.waec, and wen i found out about u and dis site, i was so impressed, because i've had so many problems in maths, those dat i couldnt solve was wat i posted nd fortunately, u nd ur felo mathematicians helped me, i still have many unanswered mathematical question i wud luv u 2 help me with, but no airtime..........moreover......i wouldnt dare.....bsides, wat gives u d feeling dat i'm trying 2 test u? Sorry buddy, we initially got the wrong impression. Keep your questions coming, there are a lot of gurus on this thread willing to help! |
Re: Nairaland Mathematics Clinic by ositadima1(m): 6:27pm On Jan 16, 2013 |
Nice job, the more you solve the better you get at it. |
Re: Nairaland Mathematics Clinic by Nobody: 6:33pm On Jan 16, 2013 |
Make x the subject of the formula; STX^3-2WX=10X^2T |
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