Thursday, May 28, 2009

fourier series

Formulae for fourier series of a function f(x) which satisfies dirichlet's condition
note that for full series in(0,2pi) (-pi,pi) or when l = pi the expression ( n*pi*x / l ) reduces to (nx)
Problem
half range fourier cosine series of f(x) = x² in (0,l) explanation answer


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





normal equation to fit a parabola

normal equation to fit a parabola or second degree equation

-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





Wednesday, May 27, 2009

reduction formula for (sinx)^m (cosx)^n with limits 0 to pi/2

reduction formula for (sinx)^m (cosx)^n with limits 0 to pi/2
in the numerator start off with (m-1) , (n-1) subtract 2 successively till 2 or 1 is reached
in the denominator
start off with (m+n) , subtract 2 successively till 2 or 1 is reached

Also put a pi/2 in the numerator if m and n are both even


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





Tuesday, May 26, 2009

is it possible to make money online

Is it possible to make money online? Most websites say that having a blog with some advertisements from google adsense, adbrite, bidvertiser, tyroo so on is the easiest way to make money. But the problem is that you need more than 1000 hits per day to generate any meaningful revenue. To get that kind of pageviews per day, you need to generate that much quality content and that will take a lot of your time.

There are many  fake surveys also doing the rounds. Some of the better paying surveys are only available to people in the developed countries like Britain, Canada etc and is not available to people from countries like India since the people conducting the surveys may be interested in the people who are likely to use their products.

There are also options like micro tasks which may be sometime spreading spam by making comments on blogs, popularising links/content on twitter, facebook etc.

There are also some options like upwork (similar to free lancer ) where you have to bid for the work(like editing, writing articles etc ) , and you have to have the necessary knowledge to take up the available work and a good internet connection to be able to finish the work properly and to the satisfaction of the person who wanted you to do the work.

You can also use websites like ebay to sell stuff for profit, but you have to be very prompt with your customer service and the competition will be very high for most of the common items and the margins on some  items might be very small.

Another thing that you have to consider , if you are in places like India is how the payout is made and what kind of expenses(charges etc) will come if you are cashing a cheque denominated in dollars at your local bank.
-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work



Friday, May 22, 2009

integral of (x^3)*sqrt[4-x^2] using substitution

integral of (x^3)*sqrt[4-x^2] using substitution

use 4 - x² =u²

write every thing in terms of u, open up the brackets and integrate.


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work








Thursday, May 21, 2009

SBI , state bank of india

state bank of india or SBI was where my parents had an account. In the old days there were not many private/foreign banks . So I also got my first bank account at SBI. In those days, there were no computers and records were kept in writing in ledgers, The pass book was smaller and had a plastic jacket and fit nicely into your shirt pocket. There was no ATM . If you wanted to withdraw money, you had to go to the bank during the working hours.
In those days the interest rates were nicer. For example, the PF (provident fund ) interest rate was more than 11%.
Then they introduced computers. The pass book became bigger and would not fit in the shirt pocket. Initially the
computer network seemed to be restricted inside the particular branch and the software ran on something that looked like dos and was pretty fast.

Then after sometime they introduced something like core banking, which was networking across the whole country. In the beginning , this led to a slowdown in the service because of problems in the network.
There were some problems in some other parts of India due to flood in Bombay some years back.

Even now updating the passbook is sometimes a problem during busy periods. Sometimes the printing is way off the mark and prints over previous records rendering them illegible, and the teller has to reprint the whole thing on a new page.

But on the plus side you have atm withdrawls. sbi has many atms in most cities. In kerala , there are other state banks like SBT which also have atms. You also have online access to your account through onlinesbi.com.
If you give a form for online access , they will give you a kit with initial login name and password. But it takes about one day for the access to be activated. For online transaction of money using neft , you also need to register your cell phone ( for getting the transaction password ), You get an online form/receipt when you do it, whose copy (written / printout) has to be taken to your branch before the registration is complete.



-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





Saturday, May 16, 2009

new 1

Falling Home prices
Home prices seem to have fallen in 8 out of 10 US cities during the third quarter of 2009.

14th Lok Sabha

The fourteenth Lok Sabha has been dissolved. The first session for the new lok sabha might begin on June 2nd.

Hartal in the capital

There might be a hartal in the capital of Kerala on Tuesday the 19th of May to protest against the death of som people due to alleged police shootings at cheriyathura.

Indian election

After close to a month of voting , the results of the elections to the indian parliament were out today. The UPA seem to be on course to form the next government. The communist party backed LDF faced a huge backlash in Kerala and Bengal. In Kerala, they were able to get only about 4 seats.

Automobiles
The new car Ritz from Maruti has been launched in India. The cost is somewhere close to 5 lacs.


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems







disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





news index

16-5-2009 to .........

Wednesday, May 13, 2009

pet problems

Teaching a dog to walk properly.

Red spots on the underside of the stomach of a dog presumably due to allergies.

Thinking of feeding whole eggs with shells and then worrying if their gums will bleed or not.

Making a dog stop eating and messing up with garden plants.

Feed rice to a dog and then wonder if it will fatten it up.



-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





Saturday, May 9, 2009

integral of 1 / [9 + 7 cos.² x]

integral of 1 / [9 + 7 cos² x]

here you divide by cos² x, change the resultant sec² x in the denominator to tan² x and then use
the substitution u = tanx


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





kerala exam results websites

The results of the SSLC exam, TTC, KGTE, VHSE , kerala higher secondary exam SAY exam 2009 etc seem to be available at some of the following sites

results.nic.in

results.kerala.nic.in

sslcexamkerala.gov.in

keralaresults.nic.in

CBSE exam results seem to be available at cbseresults.nic.in

The results , answer key of the kerala engineering , medical entrance exam KEAM may be available at cee-kerala.org

-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





Friday, May 8, 2009

mclaurin's power series for ln(1+x)

mclaurin's power series for ln(1+x)

-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work








Wednesday, May 6, 2009

integral of 1 / [a + bsinx + c cosx ]

Integral of 1 / [a + bsinx + c cosx ]

Integration formulae


---------------------------------------
you might then have to restort to completion of squares in some cases after the manipulation

Examples
* integral of 1 / (5+4cosx) with limits 0 to (pi/2)
integral of 1 / {5 + 4 cos x } with limits




PAGE 1 BASIC INTEGRATION
PAGE 2 INTEGRATION BY SUBSTITUTIONPAGE 3 INTEGRATION BY COMPLETION OF SQUARES
PAGE 4 INTEGRATION BY PARTS
PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR





-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work


Tuesday, May 5, 2009

integration using partial fractions

Integration by partial fractions

Integration formulae

first of all check if degree of numerator is less than degree of denominator
else perform long division.
---------------------------------------
you might then have to restore to completion of squares in some cases after the manipulation
in some cases the manipulation can be done through inspection

Examples

* ∫ dx / [ (x-2) (1 + x²)]
integral using partial fractions

*integral of (x² +1) / [(x+3)(x-1)²]
integration using partial fraction







PAGE 1 BASIC INTEGRATION

PAGE 2 INTEGRATION BY SUBSTITUTION 
PAGE 3 INTEGRATION BY COMPLETION OF SQUARES

 PAGE 4 INTEGRATION BY PARTS

PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR






-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work