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#252 Help Me ! » sum of n terms » 2007-12-11 07:29:56

tony123
Replies: 4

Find the sum of n terms of the series

                    1 + 8 + 19 + 34 + 53 + 76 +  ------

#253 Help Me ! » ten dollars » 2007-12-11 07:26:41

tony123
Replies: 3

A man and a boy agree to dig a patch of potatoes for ten dollars. The man can dig as fast as the boy can pull tops, and     he can pull tops twice as fast as the boy can dig. How should the money be divided?

#254 Puzzles and Games » the smallest value » 2007-12-08 09:21:57

tony123
Replies: 1

find the smallest value of

#255 Puzzles and Games » sin x » 2007-12-06 13:09:10

tony123
Replies: 2

prove that

sin x≥ 2 x/ pi  , x ∈ [0, pi/2]

#256 Puzzles and Games » inequality » 2007-12-06 05:07:16

tony123
Replies: 0

Prove that if

are nonnegative reals such that
,
then

.

#257 Puzzles and Games » Solve the following equation » 2007-12-06 04:52:47

tony123
Replies: 2

Solve the following equation on the set of real numbers:

#258 Puzzles and Games » hard » 2007-12-04 09:50:54

tony123
Replies: 1

If 

and

are lengths of a triangle  such that

Prove that
rolleyes

#259 Re: Puzzles and Games » Solve » 2007-12-04 05:55:40

this is  other way

 

----1

from 1



#260 Re: Puzzles and Games » atriangle » 2007-12-04 05:36:35

I am sorry for all  This large error

you are right jane 4S √3  ≥ a²+b²+c² is  not right
4S √3  ≤ a²+b²+c² this is is right





A pologise

#261 Puzzles and Games » Solve » 2007-12-03 22:15:23

tony123
Replies: 4

SOLVE
a,b integers


#262 Puzzles and Games » atriangle » 2007-12-03 21:13:03

tony123
Replies: 15

if atriangle has sides of length a,band c,  and the area is S
prove that
4S √3  ≥ a²+b²+c²

with equality holding if and only if the triangle is equilateral

#263 Re: Help Me ! » the sum of the series » 2007-12-03 20:52:29

JaneFairfax
  wonderful Solution
You are right
Next time I shall problem in “Puzzles and Games”

#264 Help Me ! » easy2 » 2007-12-03 06:42:23

tony123
Replies: 4

find the roots

#265 Re: Help Me ! » the sum of the series » 2007-12-02 06:36:29

1,2,4,8,16 yes

1,2,4,6 how olivia

#266 Help Me ! » the sum of the series » 2007-12-02 05:35:50

tony123
Replies: 5

For x>1 determine the sum of the series

#267 Help Me ! » rectangular » 2007-12-01 21:29:35

tony123
Replies: 2

rectangular ,
Equilateral Triangle
X∈BC , Y∈CD  and

find

#268 Help Me ! » the last four digits » 2007-12-01 08:56:16

tony123
Replies: 2

what is the last four digits for

#269 Help Me ! » square PQRS » 2007-12-01 05:02:47

tony123
Replies: 5

Inside the unique square PQRS are drawn the 4 quarter-circles having unit radii and the vertices as centers. Determine the area A that is common to the 4 quadrants.

img1.gif

#270 Re: Help Me ! » lim » 2007-12-01 04:40:44

Welcome Youth
I have three other solutions to this problem
There is one other forums which he introduced this solution
To discuss this solution

And try to acquire other ideas

JaneFairfax im not a charlatan

Krizalid im not stole but i  have three other solutions to this problem

Thank you for all

#271 Re: Help Me ! » lim » 2007-11-30 10:39:19

where
as
by Taylor's theorem.

Thus,

.

#273 Help Me ! » lim » 2007-11-25 07:37:05

tony123
Replies: 12

without l hopetal

find

when x-->0

#274 Help Me ! » maximum? » 2007-11-24 07:39:25

tony123
Replies: 1

For what real values of x will the value of  the expression


  be a maximum?

#275 Help Me ! » F(1000)? » 2007-11-24 07:18:49

tony123
Replies: 1

Let N = { 0, 1, 2, 3, ... } and suppose F: N --> Z+ is defined by: F(0) = 0 ; F(1) = 1 ;F(n) = 18F(n – 1) – 65F(n – 2), for all n = 2, 3, 4, ...                 What is F(1000)?

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