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Nairaland Mathematics Clinic - Education (119) - Nairaland

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Re: Nairaland Mathematics Clinic by Nobody: 1:38pm On Dec 12, 2013
1) d/dx [arccos (1-x^2)/(1+x^2) ]

2) d/dx[arccos(4x^3 - 3x)]

burst your brains with the above enigma... Should i put a prize tag?
Re: Nairaland Mathematics Clinic by rhydex247(m): 1:42pm On Dec 12, 2013
benbuks: 1) d/dx [arccos (1-x^2)/(1+x^2) ]

2) d/dx[arccos(4x^3 - 3x)]

burst your brains with the above enigma... Should i put a prize tag?
yes put a price tag
Re: Nairaland Mathematics Clinic by Nobody: 1:45pm On Dec 12, 2013
rhydex 247:
yes put a price tag
k With solutions o.
Re: Nairaland Mathematics Clinic by Nobody: 1:53pm On Dec 12, 2013
benbuks: 1) d/dx [arccos (1-x^2)/(1+x^2) ]

2) d/dx[arccos(4x^3 - 3x)]

burst your brains with the above enigma... Should i put a prize tag?

No. 2

Let y = arccos(4x^3 - 3x). Then
cosy = 4x^3 - 3x
-siny(dy/dx) = 12x^2 - 3

dy/dx = -(12x^2 - 3)/siny

But cos^2(y) + sin^2(y) = 1 and
siny = sqrt[1 - cos^2(y)]. So,

siny = sqrt[1 - (4x^3 - 3x)^2]

Therefore,
dy/dx =
(3 - 12x^2)/sqrt[1 - (4x^3 - 3x)^2]
Re: Nairaland Mathematics Clinic by Nobody: 2:00pm On Dec 12, 2013
smurfy:

No. 2

cosy = 4x^3 - 3x
-siny(dy/dx) = 12x^2 - 3

dy/dx = -(12x^2 - 3)/siny

But cos^2(y) + sin^2(y) = 1

Therefore,
dy/dx =
(3 - 12x^2)/sqrt[1 - (4x^3 - 3x)^2]
..rara oo...aah omo kilo dey'?
Re: Nairaland Mathematics Clinic by Nobody: 2:04pm On Dec 12, 2013
benbuks: ..rara oo...aah omo kilo dey'?

Your question isn't clear. Are you asking for differentiation or integration?
Re: Nairaland Mathematics Clinic by rhydex247(m): 2:04pm On Dec 12, 2013
benbuks: 1) d/dx [arccos (1-x^2)/(1+x^2) ]

2) d/dx[arccos(4x^3 - 3x)]

burst your brains with the above enigma... Should i put a prize tag?
let y= arccos 4x^3-3x
also let u=4x^3-3x...du/dx=12x^2-3
y=arccosu
dy/du=1/ sqrt(1-u^2)
dy/dx=12x^2-3/sqrt(1-(4x^3-3x)^2)
Re: Nairaland Mathematics Clinic by Nobody: 2:07pm On Dec 12, 2013
rhydex 247:
let y= arccos 4x^3-3x
also let u=4x^3-3x...du/dx=12x^2-3
y=arccosu
dy/du=1/ sqrt(1-u^2)
dy/dx=12x^2-3/sqrt(1-(4x^3-3x))

Wrong. Mine is correct. I want etisalat and not mtn o. cheesy
Re: Nairaland Mathematics Clinic by rhydex247(m): 2:10pm On Dec 12, 2013
[quote author=benbuks]1) d/dx [arccos (1-x^2)/(1+x^2) ]

i can only provide d ans cos my ba3 is drained.
the ans is 2sqrt[x^2/(x^2+1)^2]/x.
Re: Nairaland Mathematics Clinic by Nobody: 2:11pm On Dec 12, 2013
rhydex 247:
let y= arccos 4x^3-3x
also let u=4x^3-3x...du/dx=12x^2-3
y=arccosu
dy/du=1/ sqrt(1-u^2)
dy/dx=12x^2-3/sqrt(1-(4x^3-3x))
. . . No sir, hint[Q1 put x=tan@)
Q2 put x =cos@]
Re: Nairaland Mathematics Clinic by rhydex247(m): 2:12pm On Dec 12, 2013
smurfy:

Wrong. Mine is correct. I want etisalat and not mtn o. cheesy
av modify my ans.
Re: Nairaland Mathematics Clinic by Nobody: 2:15pm On Dec 12, 2013
Tym up.
Re: Nairaland Mathematics Clinic by Nobody: 2:15pm On Dec 12, 2013
benbuks: . . . No sir, hint[Q1 put x=tan@)
Q2 put x =cos@]

Examiner, you don't seem to know what you're doing. The answers we provided for Que 2 ARE correct. Oya, wey my recharge card? cheesy
Re: Nairaland Mathematics Clinic by rhydex247(m): 2:15pm On Dec 12, 2013
benbuks: . . . No sir, hint[Q1 put x=tan@)
Q2 put x =cos@]
for d no 2. it doesnt meam we shud use d same method. moreover u did not state dat in d beginning of ur questn.
Re: Nairaland Mathematics Clinic by rhydex247(m): 2:17pm On Dec 12, 2013
benbuks: Tym up.
where my recharge card?
Re: Nairaland Mathematics Clinic by Nobody: 2:21pm On Dec 12, 2013
Hay!!, no b fight na,

study your calculus wella...u'll kw y....
I tot u guys r genius dat's y i did'nt put d hint initially.....

I'll liv oda generals to try it..b4 , i post my solution and answer....
1love...keep rollin..
Re: Nairaland Mathematics Clinic by Richiez(m): 2:23pm On Dec 12, 2013
benbuks: ok.

N100 mtn each b4 2:15pm. With solutions o.

very innovative of you...you're doing a good job making the thread exciting
@everyone sorry i've been off for some time now, but finally i'm back here again
Re: Nairaland Mathematics Clinic by Nobody: 2:27pm On Dec 12, 2013
Oga Richiez, see this guy wey post question o. We con get am, e no wan pay. Tell am to pay me my money o!
Re: Nairaland Mathematics Clinic by Nobody: 2:29pm On Dec 12, 2013
Richiez:

very innovative of you...you're doing a good job making the thread exciting
@everyone sorry i've been off for some time now, but finally i'm back here again
. . .ahh!, my great general...long time o...welcome back...we thank God...4evritin..

MATHEMATICS, any day, any time...
1love..
Re: Nairaland Mathematics Clinic by Nobody: 2:30pm On Dec 12, 2013
@benbuks
You think se e easy to host competition? Go ask oga Max, DD and Richiez nah.

Oga, my etisalat card! cheesy
Re: Nairaland Mathematics Clinic by Nobody: 2:30pm On Dec 12, 2013
Richiez:

very innovative of you...you're doing a good job making the thread exciting
@everyone sorry i've been off for some time now, but finally i'm back here again
. . .ahh!, my great general...long time o...welcome back...we thank God...4evritin..

MATHEMATICS, any day, any time...
1love.. grin
Richiez:

very innovative of you...you're doing a good job making the thread exciting
@everyone sorry i've been off for some time now, but finally i'm back here again
. . .ahh!, my great general...long time o...welcome back...we thank God...4evritin..

MATHEMATICS, any day, any time...
1love..
Re: Nairaland Mathematics Clinic by rhydex247(m): 2:36pm On Dec 12, 2013
@ MR BENBUKS.
MY CARD NA. WIT D PREVIOUS CARD O MAKING 200 NAIRA. I DEY PARA O.
SMURFY NA SHORTCUT WE TAKE SOLVE D QUESTION.
Re: Nairaland Mathematics Clinic by Nobody: 2:51pm On Dec 12, 2013
If y = ln[tan(1 - x)], show that
dy/dx = -2/[sin(2 - 2x)]
Re: Nairaland Mathematics Clinic by Nobody: 3:58pm On Dec 12, 2013
i'l give only the first person to solve this (within 12 hours) a recharge card.

1..The current distance between
Buenos Aires and Cape Town at
latitude 34° S is 6890 km, and
the sea floor spreading rate at
the South Atlantic mid-ocean
ridge (i.e. between the African
and South American plate) is 35
mm yr-1. Assuming that both
cities lie near to the edge of their
respective continental margins,
calculate to the nearest million
years how long it has been since
these two continents separated.
*****Hint: it may help if you first
calculate how far the plates
would move in 1 million years.
2..A palaeontologist has
discovered a new fossil
Pterosaur species (i.e. flying
reptile) in sedimentary strata
near Buenos Aires, and also near
Cape Town. The strata are dated
as Early Cretaceous (120 Ma) in
age. Using a reconstruction of
the fossil skeleton, the
palaeontologist has suggested
that the animal probably ate fish,
and could have flown long
distances across the sea at an
average of 60 km h-1. To the
nearest hour, determine how
long, it would have taken the
Pterosaur to fly across the Early
Cretaceous Atlantic Ocean.
Re: Nairaland Mathematics Clinic by Nobody: 4:26pm On Dec 12, 2013
Find dy/dx if y = {cos[cos(cosx)]}.
Re: Nairaland Mathematics Clinic by Nobody: 4:27pm On Dec 12, 2013
Why is everybody scared of tackling my simple permutation question?

I'll post it forever until... Yeah, you got it.smiley
Re: Nairaland Mathematics Clinic by Nobody: 4:35pm On Dec 12, 2013
smurfy: In how many different ways can the letters P, Q, R, S, T be arranged if the letter R must be to the right of the letter S?
Re: Nairaland Mathematics Clinic by Nobody: 4:52pm On Dec 12, 2013
Hmm.
Re: Nairaland Mathematics Clinic by rhydex247(m): 4:59pm On Dec 12, 2013
smurfy: Why is everybody scared of tackling my simple permutation question?

I'll post it forever until... Yeah, you got it.smiley
DO U TINK UR QUESTION ARE HARD.
MAKE I REACH HOUSE U'LL GET THE SOLN DIS NITE.
Re: Nairaland Mathematics Clinic by Nobody: 5:08pm On Dec 12, 2013
rhydex 247:
DO U TINK UR QUESTION ARE HARD.
MAKE I REACH HOUSE U'LL GET THE SOLN DIS NITE.

Yeah. smiley
Re: Nairaland Mathematics Clinic by Nobody: 5:13pm On Dec 12, 2013
smurfy: Find dy/dx if y = {cos[cos(cosx)]}.
...simply apply ur chain rule... Man...liv man pikin to rest abeg...
Re: Nairaland Mathematics Clinic by Nobody: 5:14pm On Dec 12, 2013
jauntee02: i'l give only the first person to solve this (within 12 hours) a recharge card.

1..The current distance between
Buenos Aires and Cape Town at
latitude 34° S is 6890 km, and
the sea floor spreading rate at
the South Atlantic mid-ocean
ridge (i.e. between the African
and South American plate) is 35
mm yr-1. Assuming that both
cities lie near to the edge of their
respective continental margins,
calculate to the nearest million
years how long it has been since
these two continents separated.
*****Hint: it may help if you first
calculate how far the plates
would move in 1 million years.
2..A palaeontologist has
discovered a new fossil
Pterosaur species (i.e. flying
reptile) in sedimentary strata
near Buenos Aires, and also near
Cape Town. The strata are dated
as Early Cretaceous (120 Ma) in
age. Using a reconstruction of
the fossil skeleton, the
palaeontologist has suggested
that the animal probably ate fish,
and could have flown long
distances across the sea at an
average of 60 km h-1. To the
nearest hour, determine how
long, it would have taken the
Pterosaur to fly across the Early
Cretaceous Atlantic Ocean.

Your questions are cheap. I'll let someone else answer them.

I'm tired of this recharge card business. sad

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