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Re: Nairaland Mathematics Clinic by naturalwaves: 12:00pm On Apr 07, 2016
hozeinbasit:
pls ds word problem disturbing me since hlp me work it out. Ade has 4times books as many as daniel 5times as bose.if bose has 40books wat x d least number of books dat Ade has
Check the question again and retype it correctly with all necessary punctuations so that your question can be interpreted correctly.
Re: Nairaland Mathematics Clinic by agentofchange1(m): 1:20pm On Apr 07, 2016
hmm...this. thread ..still exist ..?
Re: Nairaland Mathematics Clinic by agentofchange1(m): 2:42pm On Apr 07, 2016
try this ..
solve. y' = siny - xsin^ 2 y.
Re: Nairaland Mathematics Clinic by mopolord(m): 4:09pm On Apr 07, 2016
Pls i need d solution to x^x=27
Re: Nairaland Mathematics Clinic by Ayomide002: 4:34pm On Apr 07, 2016
agentofchange1:
try this ..
solve. y' = siny - xsin^ 2 y.
what's the problem with the question
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:06pm On Apr 07, 2016
hozeinbasit:
pls ds word problem disturbing me since hlp me work it out. Ade has 4times books as many as daniel 5times as bose.if bose has 40books wat x d least number of books dat Ade has

if i get u right

ade:daniel=4:1
daniel:bose=5:1
thus
ade:bose=20:1

it implies that if bose has 40books den ade will have

20x40=800books

thus ade has 800books

1 Like

Re: Nairaland Mathematics Clinic by ladokuntlad(m): 5:09pm On Apr 07, 2016
mopolord:
Pls i need d solution to x^x=27
Use graphical method naa

yu get x=3

or if u love stressful methods like me
u can use newton-raphson method
Re: Nairaland Mathematics Clinic by agentofchange1(m): 8:49pm On Apr 07, 2016
Ayomide002:
what's the problem with the question
Bernoulli DE..
Re: Nairaland Mathematics Clinic by fawaz050(m): 12:29pm On Apr 10, 2016
agentofchange1:
try this ..
solve. y' = siny - xsin^ 2 y.
did my best y=arccsc(v) where v=x-secx+ce^-xcosy
Re: Nairaland Mathematics Clinic by agentofchange1(m): 8:32pm On Apr 10, 2016
fawaz050:
did my best y=arccsc(v) where v=x-secx+ce^-xcosy
hmmm.really ?

let's see the workings. then.
Re: Nairaland Mathematics Clinic by fawaz050(m): 11:03pm On Apr 10, 2016
agentofchange1:

hmmm.really ?

let's see the workings. then.
is it correct?
Re: Nairaland Mathematics Clinic by agentofchange1(m): 11:17pm On Apr 10, 2016
fawaz050:
is it correct?
don't worry abt..the correctness... m more interested in the workings ....thanks sir .
Re: Nairaland Mathematics Clinic by fawaz050(m): 12:53am On Apr 11, 2016
agentofchange1:

don't worry abt..the correctness... m more interested in the workings ....thanks sir .
is it correct yes or noundecided
Re: Nairaland Mathematics Clinic by ladokuntlad(m): 1:22am On Apr 11, 2016
fawaz050:
is it correct yes or noundecided
Bro its nt always abt the final answer

The steps used to arrive at such ansa is wat is needed in maths.
Nothing like is it correct
Re: Nairaland Mathematics Clinic by fawaz050(m): 6:47am On Apr 11, 2016
ladokuntlad:

Bro its nt always abt the final answer

The steps used to arrive at such ansa is wat is needed in maths.
Nothing like is it correct
ok sir,i will upload it.m just eager to know if i got my sums right
Re: Nairaland Mathematics Clinic by fawaz050(m): 11:23am On Apr 11, 2016
agentofchange1,boss,m unable to upload dem,sincerely i tried doing so..but no lele sha
Re: Nairaland Mathematics Clinic by profftrojahn: 11:54am On Apr 11, 2016
Adol16:
Maths gurus pls help me solve the simultaneous equations

x + y =5
x^x + y^y=31
u dnt nid. 2 even write anytin na,since x+y=5 jxt try 2 numbers. Less than 5 dat u will add 2 give u 5 nd At d same time make d mumbers a power of themselves to give u 31 .......voila! X is 2 y is 3
Re: Nairaland Mathematics Clinic by UTILITYMAY(m): 8:01pm On Apr 20, 2016
Please friend, i need the solution to this problem. Thanks.

A husband and wife have a combined age of 91.

The husband is now twice as old as his wife was when he was as old as she is now.

How old are they?
Re: Nairaland Mathematics Clinic by Soneh(m): 9:10pm On Apr 20, 2016
gurus in the house pls i need ur help on this
1.solve the simultaneous equations for x and y
(a).log x 2 4 +log 2 y +5.=0 ,,xy=1/4
(b).express(√ 3+2√2) in the form √a+√b.(please note that the first square root sign covers the whole of 3+2√2)
(2) evaluate Z 8 where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin-1 2x+sin-1 x for x=1/2 leaving your answer in radians
Re: Nairaland Mathematics Clinic by ElDeeVee(m): 9:31pm On Apr 20, 2016
UTILITYMAY:
Please friend, i need the solution to this problem. Thanks.

A husband and wife have a combined age of 91.

The husband is now twice as old as his wife was when he was as old as she is now.

How old are they?

Ages are 52 and 39 as shown in the workings below.

Cheers

2 Likes 2 Shares

Re: Nairaland Mathematics Clinic by Joe82834(m): 9:54am On Apr 21, 2016
Soneh:
gurus in the house pls i need ur help on this
1.solve the simultaneous equations for x and y
(a).log x 2 4 +log 2 y +5.=0 ,,xy=1/4
(b).express(√ 3+2√2) in the form √a+√b.(please note that the first square root sign covers the whole of 3+2√2)
(2) evaluate Z 8 where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin-1 2x+sin-1 x for x=1/2 leaving your answer in radians
1b)

Re: Nairaland Mathematics Clinic by Joe82834(m): 10:11am On Apr 21, 2016
UTILITYMAY:
Please friend, i need the solution to this problem. Thanks.

A husband and wife have a combined age of 91.

The husband is now twice as old as his wife was when he was as old as she is now.

How old are they?

Re: Nairaland Mathematics Clinic by Joe82834(m): 10:23am On Apr 21, 2016
Soneh:
gurus in the house pls i need ur help on this
1.solve the simultaneous equations for x and y
(a).log x 2 4 +log 2 y +5.=0 ,,xy=1/4
(b).express(√ 3+2√2) in the form √a+√b.(please note that the first square root sign covers the whole of 3+2√2)
(2) evaluate Z 8 where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin-1 2x+sin-1 x for x=1/2 leaving your answer in radians
4)well make i try.fir 2x, 2(½) is 1.sine inverse of 1 is 90 degrees. Fir x, sine inverse of ½ is 30 degrees. 90+30= 120 degrees. Now 2π rad = 180 degrees. So 120 degrees should be 120(2π)rad/180 =1.333π rad
Re: Nairaland Mathematics Clinic by Joe82834(m): 11:04am On Apr 21, 2016
Soneh:
gurus in the house pls i need ur help on this
1.solve the simultaneous equations for x and y
(a).log x 2 4 +log 2 y +5.=0 ,,xy=1/4
(b).express(√ 3+2√2) in the form √a+√b.(please note that the first square root sign covers the whole of 3+2√2)
(2) evaluate Z 8 where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin-1 2x+sin-1 x for x=1/2 leaving your answer in radians
1a) Now this one is interesting. Had to think real hard but happy i got to see d question. Tanx Soneh

Re: Nairaland Mathematics Clinic by Joe82834(m): 11:31am On Apr 21, 2016
Soneh:
gurus in the house pls i need ur help on this
1.solve the simultaneous equations for x and y
(a).log x 2 4 +log 2 y +5.=0 ,,xy=1/4
(b).express(√ 3+2√2) in the form √a+√b.(please note that the first square root sign covers the whole of 3+2√2)
(2) evaluate Z 8 where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin-1 2x+sin-1 x for x=1/2 leaving your answer in radians
Another good one
MODIFIED (messed up my sign earlier) ; also uploading d correct soln
z8 = -128 ( 1 - i√3 )

Re: Nairaland Mathematics Clinic by Soneh(m): 3:55pm On Apr 21, 2016
Joe82834:

Another good one
z8 = -128 ( 1 + i√3 ) also equal to -128z
thanks alot,but please don't forget the number three question
Re: Nairaland Mathematics Clinic by agentofchange1(m): 4:58pm On Apr 21, 2016
Soneh:
thanks alot,but please don't forget the number three question
write the number 3 properly with parentheses ..
Re: Nairaland Mathematics Clinic by Soneh(m): 5:24pm On Apr 21, 2016
agentofchange1:


write the number 3 properly with parentheses ..
here it is : prove thaT
(TAN 2A- TAN A) IS EQUAL TO (2SIN A)/(COS A +COS3A)
Re: Nairaland Mathematics Clinic by agentofchange1(m): 6:44pm On Apr 21, 2016
Soneh:

here it is : prove thaT
(TAN 2A- TAN A) IS EQUAL TO (2SIN A)/(COS A +COS3A)

OK .

Proof:

from the L.H.S.,

tan(2A) - tanA = sin(2A)/ cos(2A). - sinA/cosA

=( Sin2AcosA - cos2AsinA)/cos2AcosA

consider the numerator , which takes the form

Sin (x-y) = sinxcosy - cosxsiny ....

..( by definition ..trig.identity )

thus , we have

=> sin(2A-A) / cos2AcosA = sinA/ cos2AcosA .......(*)

Now consider the R.H.S, 2sinA/(cosa +cos3A)

it can be established that


cos3A = 4Cos^3 A -3cosA

thus , => 2sinA/2Cos2AcosA = (*)

....( latent simplifications )

hence the proof .
Re: Nairaland Mathematics Clinic by Gbengem(m): 8:17pm On Apr 21, 2016
Help solve this sturm liouville problem
Find the eigen value and function of the boundary value problem
1. y'' + (lambda)y =0

y'(0) = 0, y'(1) =0


2. y'' + (lambda)y =0

y(0) = 0, y'(1) + y(1)=0
Re: Nairaland Mathematics Clinic by Soneh(m): 11:43pm On Apr 21, 2016
agentofchange1:


OK .

Proof:

from the L.H.S.,

tan(2A) - tanA = sin(2A)/ cos(2A). - sinA/cosA

=( Sin2AcosA - cos2AsinA)/cos2AcosA

consider the numerator , which takes the form

Sin (x-y) = sinxcosy - cosxsiny ....

..( by definition ..trig.identity )

thus , we have

=> sin(2A-A) / cos2AcosA = sinA/ cos2AcosA .......(*)

Now consider the R.H.S, 2sinA/(cosa +cos3A)

it can be established that


cos3A = 4Cos^3 A -3cosA

thus , => 2sinA/2Cos2AcosA = (*)

....( latent simplifications )

hence the proof .
Thanks
Re: Nairaland Mathematics Clinic by Joe82834(m): 1:02am On Apr 22, 2016
Soneh:

thanks alot,but please don't forget the number three question
Just seeing ur quote. D boss(agentofchange1) has fone justice to it. But will upload a detailed(though lengthy) pix of wat i did

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