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Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:18pm On Aug 13, 2014
benbuks: guys ..i made mistake in that abelian question

seems d.done was right!!
i make corrections later .....

We should overlook this now, it's been fun solving calculus with great minds here and also learning at the same time. Big congrats to the winner (Drniyi4u) and all the other participants. Thanks to you, benbuks, as well for the time you've put into this.
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 10:11pm On Aug 12, 2014
benbuks: fastest fingers first


compute

lim as n--> infinity

of [5 (n+1) + 7(n+1) / (5n - 7n ]




correct answer only ....

-7
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:41pm On Aug 12, 2014
benbuks: ok

i give you 10mins ....if no1 gets it

then i post another question.



a winner must emerge ....

Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:08pm On Aug 12, 2014
benbuks: Q1..

given xy=yx

prove that

y' =(y/x)[(xlny-y) /(ylnx-x) ]

Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:36pm On Aug 12, 2014
benbuks: integrate xe2x dx



asap..

(xe^2x)/2 - (e^2x)/4




Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:32pm On Aug 12, 2014
benbuks:

it invites the use of partial fractions not. . trig.

-arctanh x can be proven to be equal to the natural log answer too
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:29pm On Aug 12, 2014
benbuks: DRNIYI4U.--------------2PTS

KENDYZMA-------------2PTS

Pls why is my answer wrong?
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:15pm On Aug 12, 2014
benbuks: Q4 $dx/(x^2 -1)

-arctanh x + c
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:09pm On Aug 12, 2014
benbuks: Q4 f the rate at which EVD spreads in west Africa is given by the function f(t)=-ekt . compute f " (100) .

(-k^2)* e^(100K)
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:02pm On Aug 12, 2014
benbuks: Q5 . integral of tanx.sec2x dx is.....?

(sec^2 x)/2 + c
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 7:54pm On Aug 12, 2014
benbuks: Q6 if f(x,y)= y3 +2yx2 -3x -3

Fxy =………?

(3y^2 + 2x^2)(dy/dx) + (4xy-3)= dy/dx
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 7:47pm On Aug 12, 2014
benbuks: Q.7 .$[-3tan(3p)sec(3p)]dp

-sec 3p + c
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 7:42pm On Aug 12, 2014
benbuks: Q8. Y=arc.sinh(8x)

y ' = ?
.

8/sqrt(64x^2 +1)
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 6:11am On Aug 12, 2014
benbuks: Oya guys...fix a time you all will be available ተoday

asap ...

7:30pm
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 11:33pm On Aug 11, 2014
I have to quit at this point, nice dusting up calculus with you guys again.
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 11:29pm On Aug 11, 2014
benbuks: $dx/(1+x2 ) for -infinity <x< infinity

=?.

2arctan(infinity)....(looks weird)
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 11:20pm On Aug 11, 2014
benbuks: Q d/dx arc.cosh(e2x) = …?

(2e^(2x))/sqrt((e^2x)^2-1)
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 11:15pm On Aug 11, 2014
benbuks: Q what is d derivative of y=arc tan (x^2 - 1)

2x/((x^2-1)^2 + 1)
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 11:06pm On Aug 11, 2014
benbuks: Q $ e√x dx

No idea
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 11:02pm On Aug 11, 2014
benbuks: Q.y= cos2x

y ' ' =…?

-2COS2X
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 10:56pm On Aug 11, 2014
benbuks: Q. y= earctanx

y ' =…?

e^arctanx/(x^2 + 1)
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:52pm On Aug 11, 2014
benbuks: Q14. integral of tan2x dx =…?

S. secx+ c

e. cotx + c

u. tanx -x+c

n . -tanx-x+c

U
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:43pm On Aug 11, 2014
benbuks: Q15

2x2 /y =1/x .y '

solve

E. -y=x2 - c

B. y=x2 + c

O. -x2 +c = y

L. -x+c=y

A.God forbid ...


y^2 = x^4 + C
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:33pm On Aug 11, 2014
benbuks: Q13
solve

4x4/x = dy/dx


M. x4 + c=y

A.dxx4 + c =y

T.x3 -c =y



H .. hmm ..na wa ooo

M
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:22pm On Aug 11, 2014
benbuks: Q12.
solve

0=sinx + y '


B. cosx+c

u.sinx + c

k. -sinx + c

s. -cosx + c

B
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:15pm On Aug 11, 2014
benbuks: OK GUYS G GUYS..

RELAX........

My bad, got the question wrong
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:14pm On Aug 11, 2014
benbuks: Q10 SOLUTION

using i.b.p

put u=lnx =>dx=du/x

& dv=dx =>v= x

hence we have

xlnx+x + c

= x(lnx+1) + c

Has this been a question in any of the previous posts? shocked shocked shocked
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:07pm On Aug 11, 2014
benbuks: Q2 . $lnxdx =.?

1/x + c; c= constant of integration
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 9:06pm On Aug 11, 2014
benbuks: Q1 if y =-4e-4x

it fourth derivative is ...?

B -1024e-4x

E. 1024e4x

N. - next question please.



B
Education / Re: Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: by ddone: 8:37pm On Aug 11, 2014
benbuks: TIME UP...!!

Hope you got my response?
Literature / Re: Unwanted- Safarigirl by ddone: 4:36pm On Jul 06, 2014
Sorry for the late reply[/quote]

Safarigirl, great job you're doing here and on "Getting a life" too. More updates please smiley
Romance / Re: Miss Nairaland June 2013 is LUPEY by ddone: 8:55pm On Jun 07, 2013
I vote for Lupey

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