Nairaland Mathematics Clinic - Education (226)

Nairaland Mathematics Clinic - Education (226) - Nairaland

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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 no undecided

Re: Nairaland Mathematics Clinic by ladokuntlad(m): 1:22am On Apr 11, 2016

fawaz050:
is it correct yes or no

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 _x2 ⁴+log ₂y +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 Z⁸ where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin^-12x+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 _x2 ⁴+log ₂y +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 Z⁸ where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin^-12x+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 _x2 ⁴+log ₂y +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 Z⁸ where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin^-12x+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 _x2 ⁴+log ₂y +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 Z⁸ where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin^-12x+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 _x2 ⁴+log ₂y +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 Z⁸ where z=1+i√3.
(3)prove that tan 2A-tanA=2sinA/cosA+cos3A.
(4)find the value of sin^-12x+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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