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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) ]yes put a price tag |
Re: Nairaland Mathematics Clinic by Nobody: 1:45pm On Dec 12, 2013 |
rhydex 247: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) ] 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:..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) ]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: Wrong. Mine is correct. I want etisalat and not mtn o. ![]() |
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:. . . 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: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@) 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? ![]() |
Re: Nairaland Mathematics Clinic by rhydex247(m): 2:15pm On Dec 12, 2013 |
benbuks: . . . No sir, hint[Q1 put x=tan@)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. 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:. . .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! ![]() |
Re: Nairaland Mathematics Clinic by Nobody: 2:30pm On Dec 12, 2013 |
Richiez:. . .ahh!, my great general...long time o...welcome back...we thank God...4evritin.. MATHEMATICS, any day, any time... 1love.. ![]() Richiez:. . .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. ![]() |
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?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: Yeah. ![]() |
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. Your questions are cheap. I'll let someone else answer them. I'm tired of this recharge card business. ![]() |
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