doubleDx:
I'm here oga mi; it's been a long time bruv! Hope you are doing great...1luv

Yes boss am good. I dey see ur hand work here o. Keep it up. Respect

masperano: Stennon how are you? and Jackpot why did u
steal my profile pic . lol. I love clever
splakss(chicks). where is Doubledx(a great guy).
and what of efficiencie(wanted to ask what you
studied. mathematics or engineering or physics)
you got the age question i threw in. you indeed
have a rigorous mathematical mind.

Thanks! I read Economics!!

efficiencie:
Thanks! I read Economics!!

Economics!! That is stunning!! I am in awe.

Pls pals, help me with this questionn it is very urgent pls..................

If a,b,c,d>=0, show that (abcd)^1/4 <= (a+b+c+d)/4................

God bless us all and I salute evEryone here.....................

itunde: Pls pals, help me with this questionn it is very urgent pls..................

If a,b,c,d>=0, show that (abcd)^1/4 <= (a+b+c+d)/4................

God bless us all and I salute evEryone here.....................

loading...

itunde: Pls pals, help me with this questionn it is very urgent pls..................

If a,b,c,d>=0, show that (abcd)^1/4 <= (a+b+c+d)/4................

God bless us all and I salute evEryone here.....................

If a ≥0 ,b ≥0 ,c ≥0 ,d≥0,
show that:
(abcd)^(1/4) ≤ (a+b+c+d)/4

If a ≥0 ,b ≥0 ,c ≥0 ,d≥0

Then

(√a - √b)^2 ≥ 0

a + b ≥ 2√ab

(a + b)/2 ≥ (ab)^(1/2) ...1

similarly it can be argued that:

(c + d)/2 ≥ (cd)^(1/2) ...2

And using d rule
if x,y,u,v are non negative and x≥y and u≥v then xu≥yv

Hence from 1 and 2 usin d abov rule:

(a+b)(c+d)/4 ≥ (abcd)^(1/2)

Apply d rule:
If u≥v and u,v are non negativ then u^x≥v^x wen x≥0

Hence

√((a+b)(c+d))/2 ≥ (abcd)^(1/4)

(abcd)^(1/4) ≤ √((a+b)(c+d))/2 ...3

Using d rule: 2√uv ≤ u+v
whr u,v are non negative
and hence d RHS of inequality 3 is given as:

√((a+b)(c+d))/2≤(a+b+c+d)/4 ...4

On apply d law of transitivity
If u≤v and v≤w then u≤w

Hence on combinin d results frm 3 n 4:

(abcd)^(1/4) ≤ (a+b+c+d)/4

Quod Erat Demonstrandum

nice works generals .

@ efficiencie

i cn see your hand work...

kudos bro....

jackpot: Sir, is that not a referrence to the centroid?

not really .

A ball when dropped from
any given height loses 20 per cent
of its previous height at each
rebound. If it is dropped from a
height of 40m, find how often it
will rise to a height of over 8m.
How far does the ball travel before
coming to rest?




try asap..

benbuks: A ball when dropped from
any given height loses 20 per cent
of its previous height at each
rebound. If it is dropped from a
height of 40m, find how often it
will rise to a height of over 8m.
How far does the ball travel before
coming to rest?




try asap..

this is a series(GP) in this form: 40, 32, 25.6, . . .ar^(1-n)

T_n = ar^(1-n),
1st term a = 40m, common ratio r = 0.8m,

when T_n = 8,

benbuks: find how often it will rise to a height of over 8m.

7 approximate value

benbuks: How far does the ball travel before coming to rest?

the ball will bounce in 67times by my calculation b4 comin to rest,
therefore, sum of the 67terms = approx. 200m

help me with this once again. Sove By quadratic equation. If α and β are the roots of equation 3x²+5x-8=0. Find the value of α^4-ß^4

efficiencie:


If a ≥0 ,b ≥0 ,c ≥0 ,d≥0,
show that:
(abcd)^(1/4) ≤ (a+b+c+d)/4

If a ≥0 ,b ≥0 ,c ≥0 ,d≥0

Then

(√a - √b)^2 ≥ 0

a + b ≥ 2√ab

(a + b)/2 ≥ (ab)^(1/2) ...1

similarly it can be argued that:

(c + d)/2 ≥ (cd)^(1/2) ...2

And using d rule
if x,y,u,v are non negative and x≥y and u≥v then xu≥yv

Hence from 1 and 2 usin d abov rule:

(a+b)(c+d)/4 ≥ (abcd)^(1/2)

Apply d rule:
If u≥v and u,v are non negativ then u^x≥v^x wen x≥0

Hence

√((a+b)(c+d))/2 ≥ (abcd)^(1/4)

(abcd)^(1/4) ≤ √((a+b)(c+d))/2 ...3

Using d rule: 2√uv ≤ u+v
whr u,v are non negative
and hence d RHS of inequality 3 is given as:

√((a+b)(c+d))/2≤(a+b+c+d)/4 ...4

On apply d law of transitivity
If u≤v and v≤w then u≤w

Hence on combinin d results frm 3 n 4:

(abcd)^(1/4) ≤ (a+b+c+d)/4

Quod Erat Demonstrandum

@Lord efficiencie, Long live thee.......I do really appreciate U, though I still ve few other questions that requires solution, permitt me to send it................Maths is really fun

2^x =8x.......solve this @ all abeg

sundaylinus: help me with this once again. Sove By quadratic equation. If α and β are the roots of equation 3x²+5x-8=0. Find the value of α^4-ß^4

you should have used the idea they gave you earlier..


anyway
leme use A & B as my alpha & beta respectively


A^4 - B^4 =(A^2)^2 - (B^2)^2 ………………(N)

=> (A^ 2 -B^2) (A^2 +B^2 ) ............( E).....(Difference of two squares )

Now lets do some little derivation

(A+B)^2 = A^2 +B^2 +2AB....................(W)

=> A^2 + B^2 = (A+B)^2 - 2AB ..............(T)
&

(A-B)^2 =A^2 +B^2 -2AB.................(O)

=>A-B=√[(A+B)^2 -4AB ] ………… (M)..........( putting (T) .)

thus A^4 - B ^4 = [ (A+B)^2 -2AB ] [(A+B) ] [√[(A+B)^2 -4AB ] ]

NOW, GIVEN f(x) =3x^2 +5x -8 =0

sum , A+B= -5/3

product , AB = -8/3

=> [(-5/3)] [√(121/9) ] [73/9]

hence we

-4015/81
.

Kudos 2 u all..@ all my ogas..keep d fire burning.really learning frm u guys

dejt4u:
7 approximate value


the ball will bounce in 67times by my calculation b4 comin to rest,
therefore, sum of the 67terms = approx. 200m

nice...

Integrate::
Arctan([1-x]/[1+x])

Please help me on this
On an air Indian flight, there are 9 boys, 5 Indian children, 9 men, 7 Foreign boys, 14 Indian, 6 Indian males and 7 foreign females what is the number of people in the Plane?
Please help.

benbuks: Integrate::
Arctan([1-x]/[1+x])

∫arctan([1-x]/[1+x])dx

= ∫arctan([tan(π(4n+1)/4)-tan(arctanx)]/[1+tan(π(4n+1)/4)tan(arctanx)])dx

Where 'n' is any non-negative integer

Hence
= ∫arctan([tan(π(4n+1)/4)-tan(arctanx)]/[1+tan(π(4n+1)/4)tan(arctanx)])dx

= ∫arctan(tan[π(4n+1)/4-arctanx])dx

= ∫[π(4n+1)/4-arctanx])dx

= π(4n+1)x/4-1/(1+x^2)+c

efficiencie:

∫arctan([1-x]/[1+x])dx

= ∫arctan([tan(π(4n+1)/4)-tan(arctanx)]/[1+tan(π(4n+1)/4)tan(arctanx)])dx

Where 'n' is any non-negative integer

Hence
= ∫arctan([tan(π(4n+1)/4)-tan(arctanx)]/[1+tan(π(4n+1)/4)tan(arctanx)])dx

= ∫arctan(tan[π(4n+1)/4-arctanx])dx

= ∫[π(4n+1)/4-arctanx])dx

= π(4n+1)x/4-1/(1+x^2)+c

is that your final answer . .??

Allenkee: Please help me on this
On an air Indian flight, there are 9 boys, 5 Indian children, 9 men, 7 Foreign boys, 14 Indian, 6 Indian males and 7 foreign females what is the number of people in the Plane?
Please help.

logical .

brb..

benbuks:

is that your final answer . .??

or are u suggestin i try d audience, 50-50 or call a friend...infact let me phone JACKPOT!!! JACKPOT, hon, come to my aid o!

efficiencie:

or are u suggestin i try d audience, 50-50 or call a friend...infact let me phone JACKPOT!!! JACKPOT, hon, come to my aid o!

hahaha......or u wanna walk away ..?

well , the choice is yours ...

an alternative solution could help .

Allenkee:

Please help me on this
On an air Indian flight, there are 9 boys, 5
Indian children, 9 men, 7 Foreign boys, 14
Indian, 6 Indian males and 7 foreign females
what is the number of people in the Plane?
Please help.

n(b)=9
n(i n (b u g))=5
n(m)=9
n(i' n b)=7
n(i)=14
n(i n (b u m))=6
n(i' n b' n m')=7

By implicatn from d above we have d@:
n(i n b)=2
n(i n m)=4
n(i n g)=3

n(i')-n(i' n (b u m))=n(i' n b' n m')=7
n(i')-n(i' n (b u m)=7
n(i')-n(i' n b)-n(i' n m)=7
n(i')-n(b)+n(i n b)-n(m)+n(i n m)=7
hence using d above info:
n(i')=19

the total number persns on the plane equals

n(i')+n(i)=19+14=33

Allenkee: Please help me on this
On an air Indian flight, there are 9 boys, 5 Indian children, 9 men, 7 Foreign boys, 14 Indian, 6 Indian males and 7 foreign females what is the number of people in the Plane?
Please help.

2 Indian boys + 4 Indian men + 7 foreign boys + 7 foreign females + 3 Indian girls + 5 Indian women + 5 foreign men = 33 people

Total number of people in the plane is 33

To verify: the question says...

9 boys; which are: 2 Indian boys + 7 foreign boys
5 Indian children; which are: 2 Indian boys + 3 Indian girls
9 men; which are: 4 Indian men + 5 foreign men
7 Foreign boys;
14 Indian; which are: 2 Indian boys + 4 Indian men + 3 Indian girls + 5 Indian women
6 Indian males; which are: 2 Indian boys + 4 Indian men
7 foreign females



Computer scientists or anyone that can help, pls help with this assignment: write a program in visual basic to calculate the compound interest payable in a premium for any number of years using a maximum of five tools or objects. Thanks.

I'm a biochemistry student - 200 level, but computer science is compulsory for me

Also, I would appreciate tutorials on Visual Basic Programming

PatEinstEin:
2 Indian boys + 4 Indian men + 7 foreign boys + 7 foreign females + 3 Indian girls + 5 Indian women + 5 foreign men = 33 people

Total number of people in the plane is 33

To verify: the question says...

9 boys; which are: 2 Indian boys + 7 foreign boys
5 Indian children; which are: 2 Indian boys + 3 Indian girls
9 men; which are: 4 Indian men + 5 foreign men
7 Foreign boys;
14 Indian; which are: 2 Indian boys + 4 Indian men + 3 Indian girls + 5 Indian women
6 Indian males; which are: 2 Indian boys + 4 Indian men
7 foreign females



Computer scientists or anyone that can help, pls help with this assignment: write a program in visual basic to calculate the compound interest payable in a premium for any number of years using a maximum of five tools or objects. Thanks.

I'm a biochemistry student - 200 level, but computer science is compulsory for me

Also, I would appreciate tutorials on Visual Basic Programming

hnmm see boss abeg nice1 bro

well, think i can assist .

you nid d coding only or..?

benbuks:

hnmm see boss abeg nice1 bro

well, think i can assist .

you nid d coding only or..?

All of the above; I don't even know which is which

PatEinstEin:
All of the above; I don't even know which is which

ok bro..


but wait oo . how is the form of submission .?

is it that you guys will present it using a p.c or how .?

BTW: to get quick / expert's assistance on this , i suggest you forward to this to the programming section .

benbuks: ok bro..


but wait oo . how is the form of submission .?

is it that you guys will present it using a p.c or how .?

BTW: to get quick / expert's assistance on this , i suggest you forward to this to the programming section .

We are to write in pen and paper. I think it's d code...thanks...

efficiencie:

or are u suggestin i try d audience, 50-50 or call a friend...infact let me phone JACKPOT!!! JACKPOT, hon, come to my aid o!

Sir, you called?

Try differentiating your result, lets see

will that pi go away eventually, to give us back the integrand?

PatEinstEin:
We are to write in pen and paper. I think it's d code...thanks...

..ok. now ur talking ...


will get bk.to u much later ..