₦airaland Forum

ElectGINeer:
I am grateful.

uwc bro

ElectGINeer:
Please I need an explanatory solution. It is among the questions in the just concluded post utme.
Richiez, Robinhez, Dekatron, Johnydon22, Acorntree, Teempakguy. Agentofchange1.
So that I would be able to solve it if I met its like.

from standard integrals,

int.(a^x loga) dx =a^x + c

thus,int.(3^x log3) dx =3^x for 0<x<1

=3-1 =2.
that's all . hope you get

ElectGINeer:
An

2

Karmanaut:
Oga Benbuks. I hail.

great man, am no oga please , nice works from u prof. more grace..
good morning.

known that

cos²x = 0.5(1+ cos2x)

thus => 0.5[1 + ( 1 -4x^2 /2! + 16x^4 /4! - . . . )]

=> 0.5[ 1 + £ (-1)ⁿ (2x)²ⁿ /(2n)! ]

(£ = sigma, summation )
for n= 0,1,2,3. . . .


guess that's it.

hmmmm greetings

#justing.passing.by

Math vs. Stats: A Fight to the…Bank?

(Posted by Samantha Tyner)

Hi there! This is my first time writing a blog
post, so I hope you enjoy it! My name is
Samantha Tyner, and I’m a first year grad
student in Statistics at Iowa State University. I
graduated from Augustana College in Rock
Island, IL in May 2012, with a BA (yes, a BA, not
a BS) in Mathmatics, Economics, and French. I
was invited to write for this blog by a former
professor of mine from Augustana, Dr. Brian Katz
(who is also a contributor).
When he first suggested that I write for this
math grad student blog, I must admit I was a
little skeptical. After all, I’m not really a
mathematician anymore! But, after giving it
some serious thought, I decided that maybe I
could contribute some insights into the world of
statistics to this blog that you might (and will
hopefully) find interesting in the least and
fascinating or possibly thrilling at best! (Thanks,
BK!)
The first topic I decided to investigate is the
difference between how the world perceives
mathematicians and how the world perceives
statisticians. Having been a little bit of both, I
can tell you that the perceptions are in fact quite
different. The biggest thing I noticed when I
transitioned from being a mathematician to being
a statistician was that the questions people were
asking me about my life goals changed
significantly.
In my past life as a mathematician, when I told
friends, family, and my dental hygienist what I
was studying in school, I instantly got the typical
variation of, “Math? Blech! I was never any good
at math. I don’t know how you manage,” to
which I responded with grace and poise, and not
what I was thinking in my head, which was
usually something along the lines of, “Why, how
convenient! I find your chosen occupation/area
of study equally distasteful!” (I never actually
said that, of course, and I only really thought it
on a few occasions. I mean, they really were
trying to be nice, despite the fact that they had
just managed to make my lifelong passion sound
about as appetizing as an anchovy and liverwurst
sandwich.) Regardless, the second question was
always, “Oh, what are you going to do with
that?” This question was apparently rhetorical,
because the asker would always answer it
themselves with, “teach?” This is, unfortunately,
the curse of the mathematician, and especially
of the female mathematician, because people
generally only see “math problems” in math
class, and once they leave school, they fail to
see that math is all around them! (That’s
another discussion though!) I would always
answer this question with, “No, I don’t want to
teach…” and then I’d change the subject because
I wasn’t sure how to even begin to answer that
question, and I still really don’t. (Again, that’s
another discussion for another time.)
But, now that I’m a statistician, (see how I
changed the subject yet again?) the first
reaction to the slightest mention of math
(*horrified gasp*) is still generally the same. The
second question, however, has changed
dramatically. If the asker knows anything about
statistics at all (the bare minimum here being a
screening of the film Along Came Polly on TBS
one lazy Saturday afternoon), the second thing
out of their mouth after “Ew! Math!” is usually,
“So what are you going to do? Something that’ll
make you a whole lotta money, I bet!” And
again, the question is almost always rhetorical.
So, apparently now that I’m a statistician, I must
be in it for the money. (Again, I know they were
trying to be nice, but they kind of made me
sound a little bit like the girl in that one Kanye
song.) If the asker has absolutely no prior
knowledge about statistics, then they usually
reply with just a quizzical look on their face, and
then they change the subject. I must admit,
however, that the world at large doesn’t seem to
have boxed statisticians in quite as tightly as
they have mathematicians. For instance, there
are more women earning PhDs in statistics than
in mathematics (see this article , p. 11), which
suggests to me that, in general and for some
unknown reason, statistics is a more open and
diverse field. (Although women are still
definitively in the minority!) But, I think the
biggest difference is that the world embraces
statistics (many times unknowingly) for use in
everyday life. E.g. What’s the chance it will rain
today? What was Felix Hernandez’s ERA last
season? How accurate are the tests for STDs?
What are the chances my child will be born with
a genetic disorder? Etc. So, at least people have
more of an innate sense of what statistics is and
does compared to mathematics. But why do
people almost always think of green when
thinking of statistics? Do they think we carry
more value? (Surely not.) Is it because they
think we deserve it for doing the drudgework of
society? (Maybe.) Or, do they think the money
is some sort of bribe to keep us from attacking
all the muggles with our magical predictive
powers, albeit with a=0.05? (Hey, even Harry got
it wrong sometimes, and he defeated the Dark
Lord!)
Cheesy Harry Potter jokes aside, no matter what
my friends, family, or dental hygienist think about
my profession and the reasons why I chose it,
I’m glad to be a statistician, and I’m glad to have
been a mathematician! I hope that you found
this post entertaining, and that you come back
for more, when I think of it! Thanks for reading!

blogs.ams.org/mathgradblog/2013/01/24/mathvsstats/#sthash.d5vWDKmF.hlj927ut.dpbs

hmmm... touching... n pathetic...

Its well ..
never put your trust on people....

yea. beauty of mathematics seen it before.


God gives every human special potentials and creativity in various facet and strata of human phenomenon


#Awesome.wonder.

Show that the power series method fails to yield a power series solution of the form

£ c_n xⁿ for n=0 , 1 , 2 , . . .

(£ = sigma. for summation )
for

a) xy ' +y =0

b) 2xy' =y.


@jackpot, Laplacian, Doubledx. ...all math gurus...

try do justice.... thanks..

frob0genius:
Whatcha think?

oh... God bless you my darling...
i love this...
cleared now..
thanks prof..

dejt4u:
Mr lalasticlala
frnt page ooo

you wish

some1 help us on this , wanna see an alternative approach

prove that gamma(1/2) =sqrt(pi).

thanks

dejt4u:
in fact, you have to make love to her several times before you can go to stat everyday.. Brother, you are a polygamus man.. You marry one and u get one free..lol

Happy married life.. Rgds to Maths nd her sister

ok sir..

SUGARBEE:
never said math was boring


[size=15pt]#SUGARBEE[/size]

hmmm welll. i seeeeeeee...

dejt4u:
Emotional struggle..

But the fact of it is that mathematics still gt d remote to control you.. It is very easy for her to break ur spinal cord anytime anyday.. Better make peace wit her and beg for her forgiveness so dat she can bless your marriage.. Remember, maths and devil are always on d same page.. Lol

hahahaha.

dejt4u:
Emotional struggle..

But the fact of it is that mathematics still gt d remote to control you.. It is very easy for her to break ur spinal cord anytime anyday.. Better make peace wit her and beg for her forgiveness so dat she can bless your marriage.. Remember, maths and devil are always on d same page.. Lol

d boss has spoken.......


mind u, i still have (53x) with math, almost every hour on the hour , guess u can attest 2 dat..


hahahaha.

SUGARBEE:
*yawns
*boring



[size=15pt]#SUGARBEE[/size]

#pours water on her....


maths is boring?

Blizzyblinkzy:
Interesting story.


I wish i could also fall with love with him.(mathematics)

u gat ur passion girl, go for it ....


do wot u luv.. nn love wot u do......

nice1.
i luv this.....
God bless mallam hasan for me wer ever he is
best maths teacher av met.....

I initially promised to marry engineering , though
mum suggested medicine. i admire her sha . but
had passion for engineering. she got my heart ,
we've gone a long way & dad was kinda on my
side , even encouraged me to play safe, but then
i
always notice math around my neighborhood
with
her pretty , gorgeous looks , i was like WOW, so
such a damsel exist close to me but never gave
time to survey , so i approached her but she
shunned me & warned me never to disturb her
again , that i should better go & meet my mates
that
i'm ain't her standard , mehn , the experience
was
awkward that i couldn't sleep that day , wishing i
could have that damsel , i wanted to discuss this
with engineering but felt it will hurt her feelings ,
though she trusted me & our love was intimate ,
so
day in day out i try to get closer to math , but
kept
on resisting me , still i persist , at last we
became
great friends / am already falling in love , hmm
just
when our wedding with engineering is 2 weeks
ahead , something happened that caused some
massive dilemma & chaos in the family .I never
knew that mathematics 's sister which happened
to
be Engineering 's close friend , has been eyeing
me
all this while until this day when i went to pay
math
a visit in their house then met her sister
statistics ,
welcomed me & give me a glass of wine , told
me
mathematics had gone to the market since
morning
but will soon be back , so i decided to wait for
some
while , before you know it there was a chemical
reaction in my system i couldn't understand
myself
anymore , because statistics dropped some love
portion in the wine she offered me & before i
could
say " A" statistics was pregnant , hmm what a
mystery , so engineering was heart broken &
almost
committed suicide & math also said she will
never
forgive me for what i did , i begged her & told
her it
was the work of the devil she pushed me out of
their house ,hmm .(pathetic )
my parent & the parents of Engineering were
highly
disappointed so they decided to cancel the
wedding , i pleaded with engineering to please
forgive me & allow the wedding go on , though
she
later forgave me & agreed but the parents said
"No
way" that their decision was final , all efforts to
go
on with the marriage were abortive , at this time
the
parents of statistics , Mathematics's sister
forced
me to claim responsibilities by marrying
statistics
which i later did because i gat zero choice .



Today I'm "happily" living with statistics , gat three
kids already , but to be honest with you , math/
engr.
are still in my heart wish i could marry them all
,
well, lets see what the future brings ..
that's my little story . hmm its well.


#shalom.

u can share yours

Antoinne:
Guys, I've been a bit busy out of here. Hence my frequent absence. However i have an idea i think we should all talk about.
With this combined knowledge and effort at helping people solve problems, creating maths problems, and encouraging discourse, wouldn't it be nice to take this to a completely different platform and create some kind of "online business" out of it? Just wondering...

agentofchange1, Seamione, dejt4u, Karmanaut, jackpot, and others I've failed to mention.

yea sure it will, av also gave it a thought some times back , maybe the Mods, super mods n Oga seun need to be informed , then we hear their response on d matter .

what thinketh thou?


sir RICHIEZ. wer art thou ?

Antoinne:
Seamione is actually right and you are wrong. Your sample space is incorrect. This is not a combination problem, but a permutation problem.

Selecting a multiple of 5 and an odd number from 1,2,4,5,6.
Will give 4x3x1 + 4x3x1.
To form a 3-digit number will give a space of 5x4x3
Probability = (2x4x3)/(5x4x3) = 2/5

yea bro, we've settled this a long ago... stop trying rise the death ,

happy returning....

#shalom.

If a prime number and a[a-1!+1] is divisible by 2a. Then a^a is ?

Karmanaut:
Cheers
Costs like #600

ok. thanks man.

Karmanaut:
The answer is ...
(Ei(5x))/5 + C
Where Ei(x) is the Exponential Integral given as
https://upload.wikimedia.org/math/2/6/1/261be1458e9f56fc85c4dd6cb12e8578.png or the derivative of (e^x)/x.
Cheers.

guy geme d app u dey use take solve all those questions na. ..tnx.

the pastor be like......

hmmmm.

Karmanaut:
arctan (x)
It follows the same procedure.
Start from y =arctan (x)
Therefore x = tan (y)(Call this equation 1)
Differentiating x wrt y gives sec^2 (y)
Also from trigonometry sec^2 (x) =1 + tan^2 (x)
Therefore dx/dy = 1 + tan^2 (y) (call this equation 2)
Recall that x =tan (y) from equation 1
Substitute it into equation 2
which guves:
dx/dy=(1+x^2)
Dy/dx Which is required of us is the inverse of this. Turning the equation upside down gives:
dy/dx = 1/(1+x^2)
Q. E. D
I worked backwards from the answer since it is a standard. Do Not Try This At Home.

hahaha...

guy u cunning ooo, mathematically.


i never agree with ur solution finish , still proof-reading.

bolkay47:
hi add me to the group with this number 08147276723

done

Karmanaut:
A trivial proof is attached.

k the integral of 1/(1+x^2) =?

Karmanaut:
A trivial proof is attached.

hmm. i see...

Karmanaut:
Yes. If you differentiate arctan (x) you get (1/(1-x^2)) Do you need the proof?

yes sir