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Nairaland Mathematics Clinic - Education (152) - Nairaland

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Re: Nairaland Mathematics Clinic by actYourDreams: 8:24am On Sep 28, 2014
Nigeria: Pure maths - OAU, FUNAAB or UI; Applied maths - UNILAG, UI or OAU
Abroad: AIMS, South Africa, Any school in Germany (Kaiserlautern University, University of Hamburg, Bonn University) or Austria (Johannes Kepler University, University of Vienna), Netherlands (TU Eindhoven),Canada (UBC or Waterloo), US (Tennessee University, University of Michigan).

Those options are based on my personal interactions with the schools, so they may not be the only bests.
thankyouJesus: Both if possible please, thank you sir.
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 1:57pm On Sep 28, 2014
I really appreciate your help, thank you sir.
actYourDreams: Nigeria: Pure maths - OAU, FUNAAB or UI; Applied maths - UNILAG, UI or OAU
Abroad: AIMS, South Africa, Any school in Germany (Kaiserlautern University, University of Hamburg, Bonn University) or Austria (Johannes Kepler University, University of Vienna), Netherlands (TU Eindhoven),Canada (UBC or Waterloo), US (Tennessee University, University of Michigan).

Those options are based on my personal interactions with the schools, so they may not be the only bests.
Re: Nairaland Mathematics Clinic by akpos4uall(m): 3:50pm On Sep 28, 2014
O we maths enthusiast, I'm sure some of us are already familiar with some software/applications that can be used in solving problems. I'm familiar with MATLAB only. From the little I've learnt, I must say it'll be nice if we all can learn how to make use of it or any other similar application.
Here is a thread to ease your learning www.nairaland.com/1842325/nl-online-matlab-workshop you may download the application using this link https://kickass.to/matlab-r2013a-8-1-0-604-t7283516.html torrent things. Very large sha
Re: Nairaland Mathematics Clinic by akpos4uall(m): 5:34pm On Sep 30, 2014
benbuks: integrate √(x^2 - 1) dx ..
Let x = cosh u
Here are some identities that will be needed to solve this problem
cosh u = 0.5(eu + e-u)
sinh u = 0.5(eu - e-u)
(cosh u)2 = 0.25(e2u + e-2u + 2) = 0.5(cosh 2u) + 0.5
(sinh u)2 = 0.25(e2u + e-2u - 2) = 0.5(cosh 2u) - 0.5
(cosh u)2 - (sinh u)2 = 1
(cosh u)(sinh u) = 0.25(e2u - e-2u) = 0.5sinh 2u

Since x = cosh u & (cosh u)2 - (sinh u)2 = 1,
x2 - (sinh u)2 = 1
=>sinh u = √(x2 - 1)
Also x = cosh u
=> dx = sinh u du
∫√(x2 - 1) dx
∫(sinh u)(sinh u) du
∫(sinh u)2 du
∫[0.5cosh 2u - 0.5] du
0.25sinh 2u - 0.5u + k
0.5(cosh u)(sinh u) - 0.5u + k
0.5x√(x2 - 1) - 0.5arccosh x + k
Re: Nairaland Mathematics Clinic by gbengarock: 6:04pm On Sep 30, 2014
the guru in d house
differentiate y=x*x*x with respect to x
note: * = raised to power
fenks
Re: Nairaland Mathematics Clinic by rhydex247(m): 6:35pm On Sep 30, 2014
gbengarock: the guru in d house
differentiate y=x*x*x with respect to x
note: * = raised to power
fenks

i revere to u all to d maths general in dis house. i've missed so much here but all is well sha. i will nid to seat down nd review all wat i av missed . i still remain my humble name as rhydex247
soln.

let y=x^x^x.
which implies y=x^(x^x)
recall dat y=x^x
log bth sides we av
lny=lnx^x.... lny=xlnx....
d/dy(lny)=lnx+1
1/y(dy/dx)=(lnx+1)
dy/dx=y(lnx+1) buh y=x^x
dy/dx=x^x(lnx+1).
now dat we knw dy/dx of y=x^x we
can easily get y=x^(x^x)
log both sides we av
lny=lnx^(x^x)
lny=x^xlnx
d/dy(lny)=vdu/dx+udv/dx where
my u=x nd v=x^x.
dy/dx(1/y)=x^x(1)+x(x^x(lnx+1))
dy/dx=y[x^x+x(x^x( lnx+1))]
recall dat y=x^x^x
finally we have
dy/dx=x^x^x[x^x+x(x^x(lnx+1))]
Re: Nairaland Mathematics Clinic by gbengarock: 6:55pm On Sep 30, 2014
rhydex247:

i revere to u all to d maths general in dis house. i've missed so much here but all is well sha. i will nid to seat down nd review all wat i av missed . i still remain my humble name as rhydex247
soln.

let y=x^x^x.
which implies y=x^(x^x)
recall dat y=x^x
log bth sides we av
lny=lnx^x.... lny=xlnx....
d/dy(lny)=lnx+1
1/y(dy/dx)=(lnx+1)
dy/dx=y(lnx+1) buh y=x^x
dy/dx=x^x(lnx+1).
now dat we knw dy/dx of y=x^x we
can easily get y=x^(x^x)
log both sides we av
lny=lnx^(x^x)
lny=x^xlnx
d/dy(lny)=vdu/dx+udv/dx where
my u=x nd v=x^x.
dy/dx(1/y)=x^x(1)+x(x^x(lnx+1))
dy/dx=y[x^x+x(x^x( lnx+1))]
recall dat y=x^x^x
finally we have
dy/dx=x^x^x[x^x+x(x^x(lnx+1))]
fnks bro...dunno if it's correct tho
help me solve dis too...created a thread for it before someone dircted me here
substitute the square in d pythagoras triple wit x and prove that x=2
Re: Nairaland Mathematics Clinic by jazboy(m): 7:08pm On Sep 30, 2014
Pls kindly help me out with this : This is a Mathematics brain test...A girl went to school and the teacher asked how old are u? She replied I don't know bt I know that I'm half my mother's age. D teacher asked OK how old is ur mother? She said I don't know but I know dat my dad is 5 yrs older thaan my. Mother. D teacher, den how old s ur dad? She said I don't know but I know dat if we add our ages d answer s 100 yrs... Now how old s d girl, her mum, & her dad?
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 7:26pm On Sep 30, 2014
You need the knowledge of chain rule, product rule and the differentiation of logarithm
gbengarock: the guru in d house
differentiate y=x*x*x with respect to x
note: * = raised to power
fenks
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 7:40pm On Sep 30, 2014
Let girl age = x
let mum age = y
let dad age = z
first statement
2x = y . . . . . . (1)
second statement
y + 5 = z. . . . . . (2)
third statement.
I didt get it because of your grammar, it is either:
x + y + z = 100 or
x + z = 100. . . . . (3).
Solve 1, 2, and 3 simulteneously.
jazboy: Pls kindly help me out with this : This is a Mathematics brain test...A girl went to school and the teacher asked how old are u? She replied I don't know bt I know that I'm half my mother's age. D teacher asked OK how old is ur mother? She said I don't know but I know dat my dad is 5 yrs older thaan my. Mother. D teacher, den how old s ur dad? She said I don't know but I know dat if we add our ages d answer s 100 yrs... Now how old s d girl, her mum, & her dad?
Re: Nairaland Mathematics Clinic by jazboy(m): 8:14pm On Sep 30, 2014
thankyouJesus: Let girl age = x
let mum age = y
let dad age = z
first statement
2x = y . . . . . . (1)
second statement
y + 5 = z. . . . . . (2)
third statement.
I didt get it because of your grammar, it is either:
x + y + z = 100 or
x + z = 100. . . . . (3).
Solve 1, 2, and 3 simulteneously.
pls kindly finish it up,am a learner
Re: Nairaland Mathematics Clinic by tuwayz(m): 11:00pm On Sep 30, 2014
jazboy: Pls kindly help me out with this : This is a Mathematics brain test...A girl went to school and the teacher asked how old are u? She replied I don't know bt I know that I'm half my mother's age. D teacher asked OK how old is ur mother? She said I don't know but I know dat my dad is 5 yrs older thaan my. Mother. D teacher, den how old s ur dad? She said I don't know but I know dat if we add our ages d answer s 100 yrs... Now how old s d girl, her mum, & her dad?
let the girl's age b x, mother's age be 2x since girl's age is half of her mum's age then her dad's age =2x+5, but the sum of their ages =100 therefore x+2x+(2x+5)=100, 5x+5=100, 5x=100-5, 5x=95, divide both sides by 5, x=19yrs(girl), 2x=38yrs(her mum), 2x+5=43yrs(her dad)

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Re: Nairaland Mathematics Clinic by Dammyode(m): 12:43am On Oct 01, 2014
pls who can give me intro to Riemann integral
Re: Nairaland Mathematics Clinic by Laplacian(m): 11:14am On Oct 03, 2014
akpos4uall: O we maths enthusiast, I'm sure some of us are already familiar with some software/applications that can be used in solving problems. I'm familiar with MATLAB only. From the little I've learnt, I must say it'll be nice if we all can learn how to make use of it or any other similar application.
Here is a thread to ease your learning www.nairaland.com/1842325/nl-online-matlab-workshop you may download the application using this link https://kickass.to/matlab-r2013a-8-1-0-604-t7283516.html torrent things. Very large sha
tanks
Re: Nairaland Mathematics Clinic by Laplacian(m): 11:38am On Oct 03, 2014
jackpot: Dear Math Generals, Lieutenants, Colonels, and friends of Maths, please help out:

Derive the condition on the constants a, b, c, u, v, w, such that the two circles
C1: x2+y2+ax+by+c=0
and C2: x2+y2+ux+vy+w=0
intersect each other.




tags: benbuks, doubleDx, Laplacian, Richiez, montty, AmazingAngel, STENON, efficiencie, fasodecapo, Alpha Maximus, etc.
sum of the radii must be greater than the distance between centres!!!

1 Like

Re: Nairaland Mathematics Clinic by thankyouJesus(m): 2:53pm On Oct 03, 2014
Please, what is your take about Unilorin?
actYourDreams: Nigeria: Pure maths - OAU, FUNAAB or UI; Applied maths - UNILAG, UI or OAU
Abroad: AIMS, South Africa, Any school in Germany (Kaiserlautern University, University of Hamburg, Bonn University) or Austria (Johannes Kepler University, University of Vienna), Netherlands (TU Eindhoven),Canada (UBC or Waterloo), US (Tennessee University, University of Michigan).

Those options are based on my personal interactions with the schools, so they may not be the only bests.
Re: Nairaland Mathematics Clinic by actYourDreams: 5:34am On Oct 05, 2014
I do not know how it ranks on applied or pure mathematics scale. Sorry.
thankyouJesus:
Please, what is your take about Unilorin?
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 1:14pm On Oct 05, 2014
Jeez, thank you. I would have prefer to go to UI but their academic calender is a little bit slow (considering age thing *employment/marriage/etc), do you think you talk sense into me?
actYourDreams:
I do not know how it ranks on applied or pure mathematics scale. Sorry.
Re: Nairaland Mathematics Clinic by mathefaro(m): 5:06pm On Oct 05, 2014
thankyouJesus:
Jeez, thank you. I would have prefer to go to UI but their academic calender is a little bit slow (considering age thing *employment/marriage/etc), do you think you talk sense into me?
it is not too slow
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 8:09pm On Oct 05, 2014
Okay
mathefaro:
it is not too slow
Re: Nairaland Mathematics Clinic by Kendzyma(m): 9:04pm On Oct 05, 2014
Abeg help with dis
xy+x-y-2=0.......eq(1)
yz-2y+z-3=0.....eq(2)
xz-2x-z=0.......eq(3 ).....find x,y and z
Re: Nairaland Mathematics Clinic by endtime1(m): 9:48pm On Oct 05, 2014
actYourDreams:
Nigeria: Pure maths - OAU, FUNAAB or UI; Applied maths - UNILAG, UI or OAU
Abroad: AIMS, South Africa, Any school in Germany (Kaiserlautern University, University of Hamburg, Bonn University) or Austria (Johannes Kepler University, University of Vienna), Netherlands (TU Eindhoven),Canada (UBC or Waterloo), US (Tennessee University, University of Michigan).

Those options are based on my personal interactions with the schools, so they may not be the only bests.
pls what do u know about Ami cos I will like to do my masters in maths there cos of their scholarship n wats d requirement.pls when will the application open
Re: Nairaland Mathematics Clinic by actYourDreams: 3:37am On Oct 06, 2014
What is Ami?
endtime1:

pls what do u know about Ami cos I will like to do my masters in maths there cos of their scholarship n wats d requirement.pls when will the application open
Re: Nairaland Mathematics Clinic by actYourDreams: 3:39am On Oct 06, 2014
You are welcome. I do not understand your question. What do you mean by "do you think you talk sense into me"?
thankyouJesus:
Jeez, thank you. I would have prefer to go to UI but their academic calender is a little bit slow (considering age thing *employment/marriage/etc), do you think you talk sense into me?
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 8:16am On Oct 06, 2014
Ugh, sorry about that, it was a structural grammatical blunder. The (my) question was asking of your opinion considering "my age" in selection of school. In a better sentence, how old is too old to gain admission? (Note: marriage/employment "age"/financial stability/etc). Thank you sir for your quick response.
actYourDreams:
You are welcome. I do not understand your question. What do you mean by "do you think you talk sense into me"?
Re: Nairaland Mathematics Clinic by gbengarock: 8:22am On Oct 06, 2014
if A.x =dx where A= 2 2 -2
1 3 1
1 2 2
determine the eigen values of the matrix A, and an eigen vector correspondin to each eigen value. if d=1 what is A
Re: Nairaland Mathematics Clinic by thankyouJesus(m): 8:32am On Oct 06, 2014
Kendzyma:
Abeg help with dis
xy+x-y-2=0.......eq(1)
yz-2y+z-3=0.....eq(2)
xz-2x-z=0.......eq(3 ).....find x,y and z
from equation (1)
xy + x - y - 2 = 0
xy + x - y = 2
x(y+1) - y = 2
x(y+1) = 2 + y
x = (2+y) / (y+1)............(4)
from equation (2)
y = (3-z) / (z-2)..............(5)
To solve for x, y and z
step 1: substitute (5) into (4) to get (6).
Step 2: substitute (6) into (3) to get the value of z.
Step 3: substitute the value of z into (5) to get value of y.
Step 4: substitute the value of y into (4) to get the value of x.
Re: Nairaland Mathematics Clinic by endtime1(m): 4:05pm On Oct 06, 2014
actYourDreams:
What is Ami?
sorry typographic error
I mean AIMS
Re: Nairaland Mathematics Clinic by Nobody: 7:10pm On Oct 06, 2014
cheesy u guys make me laugh smiley
Re: Nairaland Mathematics Clinic by deedav: 11:13pm On Oct 06, 2014
I hail all the mathematics authorities in the house! Please I need a prompt response to this bothersome maths question:

there are two possible routes to Lagos to Ijebu Ode. One route is through Lagos/Ibadan expressway which 100km and the other is through Ikorodu and Epe covering a distance of 80km. A motorist going through the express way can travel 10km/hr faster than the one going through Ikorodu and Epe, and arrive Ijebu Ode 5mins earlier as well. what is the timr spent on the journey to Ijebu Ode by the motorist travelling through the expressway?

thank you all in anticipation!
Re: Nairaland Mathematics Clinic by rhydex247(m): 9:09am On Oct 07, 2014
Solve dis.
1. Electric vector E of an electromagnetic wave in a free space is given by Ex=Ez=0, and Ey=Acosw(t- z/c). By using the maxwell's equation for a free space, determine the expression for the components of H.
Re: Nairaland Mathematics Clinic by rhydex247(m): 9:15am On Oct 07, 2014
actYourDreams:
Nigeria: Pure maths - OAU, FUNAAB or UI; Applied maths - UNILAG, UI or OAU
Abroad: AIMS, South Africa, Any school in Germany (Kaiserlautern University, University of Hamburg, Bonn University) or Austria (Johannes Kepler University, University of Vienna), Netherlands (TU Eindhoven),Canada (UBC or Waterloo), US (Tennessee University, University of Michigan).

Those options are based on my personal interactions with the schools, so they may not be the only bests.
Including LAUTECH (pure and applied mathematics)

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