Mathematics - 21 July 2007

Of course pi = 4 / (1-1/3+1/5-1/7+1/9-...)

and there are other infinite series that converge to pi.


But is this the fastest converging series?

Which series, defined using only integers and converging to pi is the fastest?

If I wanted to approximate pi using the first N terms of some series, what series would always get me the closest approximation for any given N? (is this known and is it proven?)

thanks.

2007-07-21 23:43:09 · 6 answers · asked by Juan Miguel M 2

2007-07-21 22:46:52 · 5 answers · asked by Anonymous

2007-07-21 22:40:27 · 6 answers · asked by Ishneet S 1

a) 3x^2 / x^3 - a^3 dx where a is a constant
b) 2x+4 / x^2+4x+1 dx
c) x squareroot 3x+4 dx

2007-07-21 22:17:30 · 4 answers · asked by fashaleviana 1

ln(x^3-3x-1)^5
--------------------dx
(x+1)(x-1)

(x^2-3x)
------------dx
(2-4x)

5
-------ds
3-4^s

e^(3x)-2e^(2x)+4e^x-2
------------------------------...
1-e^x

e^[ln(5x-3)^2]
--------------------dx
5x-3

w(3w-2)(1+lnw)
-----------------------dw
w+lnw^w

2007-07-21 21:48:15 · 1 answers · asked by swit_babyangel 2

2007-07-21 21:24:37 · 3 answers · asked by Anitha P 1

VECTORS IN 11-TH MATHS BOOK.(TAMIL NADU MATRIC. SYLLABUS)

2007-07-21 20:53:38 · 7 answers · asked by Anonymous

2007-07-21 20:36:53 · 11 answers · asked by leroy S 1

2007-07-21 19:49:06 · 14 answers · asked by Vanity 1

2007-07-21 19:48:16 · 4 answers · asked by Vanity 1

when consumers apply for credit, their credit is rated using FICO (Fair, Issac, and company) scores. Credit ratings are given below for a sample of applicants for car loans. Use sample data to construct a 99% confidence interval for the standard deviation of FICO scores for all applicants for credit.

661 595 548 730 791 678 672 491 492 583 762 624 769 729 734 706


*****please kindly show how u got the standard deviation thanks:-)

2007-07-21 19:16:08 · 3 answers · asked by delkkis 1

I got this question asking for the flux of a curl F = (-2x^2)yi + 4xy^2j + z^2k, and is contained by the shell 2 - (x^2 + y^2) = z
above the xy plane.

I went through it but my answer came out weird. Any suggestions?

2007-07-21 18:33:46 · 1 answers · asked by toucansurfer 1

How does one get y^2 - 2y = x^3 + 2x^2 + 2x + 3 to turn into: y = 1+- sqrt(x^3 + 2x^2 + 2x +4) ? Thanks for the help.

2007-07-21 18:16:15 · 2 answers · asked by Charlie4590 2

Find the area enclosed by the curves y=x(x-1) and y=x(2-x)

2007-07-21 18:07:08 · 2 answers · asked by th3one101 2

A woman at a point A on the shore of the circular lake wants to arrive at the point C on the lake diametrically opposite A. She first rows a boat from A to B at a rate of 4 mph and then jogs from B to C at a rate of 8 mph.
The eqn for the time she takes to get from A to C assuming the lake is d miles in diameter is (d/8) (2cos theta + theta) hrs

Questn: If the lake is 4 miles in diameter, what is the least time she can take in getting from A to C via B.
what does it mean by "via B", so why cant it be 1

2007-07-21 17:57:40 · 3 answers · asked by sdt3 1

2007-07-21 17:34:58 · 4 answers · asked by Anonymous

2007-07-21 17:26:05 · 5 answers · asked by Anonymous

Let .5(a+1/a) = -( 2+x) , .5(b+1/b) = -2. I need to to express the following in terms of 'x'. " .5[ (a+b)/(1+ab) + (1+ab)/(a+b) ] "

you are a super genius if you get this.

2007-07-21 17:22:14 · 2 answers · asked by iliketohide 2

my friends and i cant get these four for some reason!!
please help us out! =[
thank you!!

A computer circuit board has an area of 62. square inches. What is its area in square centimeters?


A cylinder has a radius of 5 inches and a height of 24 inches. What is the volume of the cylinder in cubic decimeters?


A carpet is being sold for $26.90 per square yard. What is the cost per square meter?


A computer hard disk can record 95. kilobytes of information per second. How many minutes will it take to record a digitalized piece of music occupying 2.2 megabytes?

2007-07-21 17:00:51 · 3 answers · asked by Anonymous

2007-07-21 16:48:48 · 4 answers · asked by jrseeg1rl 2

I need help solving something like:

x=y-3
5x+3y=1

appreciate it.

2007-07-21 16:37:34 · 8 answers · asked by agent K13007 2

i'm not asking for the answers. i just need some help remembering the basic concept of ax^2 + bx + c or whatever :) i forgot everything over the summer.

2007-07-21 16:32:01 · 4 answers · asked by mmholdford 2

step by step

2007-07-21 15:46:18 · 3 answers · asked by NECE 1

Please help me! Please explain as well...thank u so much if u do help me.

1) the current in a stream moves at a speed of 8mph. A boat travels 34 mi upstream abd 34 mi downstream in a total time of 7hrs. WHat is the speed of the boat in still water?

2) If a firm invests amount Po( the o is a zero) at an interest rate of r%, then a year later invests amount P1 at the same rate, then the total amount at the end of two years is given bby the formula A=Po (1 + r)^2 + P1 (1 +r). A firm invests $4000, then a year later invests an additional $2200. At the end of two years, it has a total of $6720. What is the interest rate?
(Answer should be like this: The interest rate is r=___%)(plz, round to the nearest integer).

THANK U SO MUCH IF U HELP ME!!! U guys r my heros in math! :P

2007-07-21 15:07:31 · 4 answers · asked by AnimalsFan 3

4x - (2x - 5) = 2(x +10) - x, again, work out please, thanks in advanced.

2007-07-21 15:01:03 · 7 answers · asked by Anonymous

Multiply:

2m(5m -3)(4m +7)

2m * 5m - 2m *-3 +2m * 4m + 2m * 7=

10m^2 +6m + 8m^2 + 14m=

18m^2 + 20m~ thats the finally answer that i came up with. Is that right?

2007-07-21 14:56:40 · 5 answers · asked by jrseeg1rl 2

8 = (12 - a) - 2, please work out i know a = 2 >.>

2007-07-21 14:50:55 · 4 answers · asked by Anonymous

Esther drove to work in the morning at an average speed of 45 miles per hour. She retruned home in the evening along the same route and averaged 30 miles per hour. If Esther spent a total of one hour communting to and from work, how many miles did Esther dirve to work in the morning?

I don't know, but the answer's supposed to be 18 somehow?

2007-07-21 14:47:42 · 4 answers · asked by Team_Balla 3

Find the max possible area, Amax, of the trapezoid when a= b= 8 inches.
http://i181.photobucket.com/albums/x85/ctti_3/untitled-30.jpg
i try to work this out but my answer turn out to be 32(root 3) but it wasnt in the answer choices. Can you check and see if it's right?

2007-07-21 14:14:38 · 3 answers · asked by swt16 1

Carl Sagan is a scientist, & so is his character the woman astronomer. Pi is both an irrational & transcendental number & so its computation cd not end. Wasn't Sagan misleading readers by suggesting altho indirectly that the computation cd end? Or has there been found a proof or indication that it's possible that computation of pi cd end?

2007-07-21 14:14:21 · 5 answers · asked by john-evan 1