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Saturday, March 21, 2009

integral of (secx)^4

integral of (secx)^4

split into( sec²x )( sec²x )

change one of the factors into 1+ tan²x
split into two integrals
one is a direct formula integration formulae

for the other integral use substitution method
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Wednesday, March 18, 2009

changing recurring decimal to fraction

change 0.48484848... into a fraction

let x = 0.48484848...
multiply by 100 ( to get the recurring digits on the other side of the decimal point )

100x = 48.48484848...

subtracting

99x = 48
x =48 / 99 = 16 / 33

try the following page for the same problem worked out using the concept of the sum of an infinite GP
http://rbmix.com/problem/re2/r.php


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Tuesday, March 17, 2009

some interesting websites

board of technical education, jodhpur , rajasthan bter : techedu.rajasthan.gov.in
national institute of fashion technology nift : nift.ac.in
madras university / university of madras : unom.ac.in
vellore institute of technology / vit : www.vit.ac.in
all india engineering entrance exam AIEEE : aieee.nic.in

national institute of technology ,surathkal, karnataka nit : nitk.ac.in
sikkim manipal university smu : smu.edu.in
indian institute of materials management iimm : iimm.org
national talent search exam ntse : scholarship tab in ncert website ncert.nic.in

human resourse development group of council of scientific and industrial research csir hrdg net csirhrdg.res.in
pondicherry university pondiuni.org
jawaharlal nehru technological university, hyderabad jntu.ac.in
kanpur institute of technology kit kit.ac.in







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derivation of regression line of y on x



formulae on correlation and regression
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Monday, March 16, 2009

jobs in india

jobs in india

For some years now, youngsters have been looking for jobs in the IT industry. But with the recession and slowing down in the west, there has been a shift in the focus of parents who are now guiding their children towards jobs in the government sector , especially the central government jobs. A web site that may be of interest to some of the people might be that of the staff selection commission of the central government of india at ssc.nic.in
railway recruitment board , chennai rrb chennai rrbchennai.net


People in kerala might be interested in the site of kerala public service commission at http://keralapsc.org/

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applying for a pan card in india

applying for a pan card in india
Now the pan card is needed for paying income tax website: incometaxindia.gov.in
and even for investment in mutual funds
With income tax season coming around, lately small banners have been coming up at many places in kerala advertising about applying for a pan card. but i do not feel very confident about some of them.

My friend recently applied for a pan card .
he went to the uti office (uti technology services ) website seems to be utitsl.co.in (i think it is the same company as that handles mutual funds) , both offices were in the same building in this case, mutual fund office was on the second floor and the other on the top floor

they gave him a pan application form (for a small charge), he filled most of the details by himself, the people in the uti office helped him in filling the rest (like ward no. etc ) of the details and asked for copies of identity proof etc.
application form of pan card seems to be available at utitsl.co.in/utitsl/uti/newapp/newpanapplication.jsp

after giving the application form, he was given a reciept and he got the pan card in around two to three weeks.

the tracker for the pan card status seems to be available at utitsl.co.in

note that income tax return forms seem to be available at incometaxindia.gov.in




As always you use the above information and links at your own risk


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model question paper for plus 2 from kerala HSC SCERT

some sample papers for plus one and plus two and old question papers are available at the higher secondary website dhsekerala.gov.in



model question paper for plus 2 from kerala HSC higher secondary HSE ?SCERT (old state syllabus ?) is available at the site scert.kerala.gov.in
or in particular the page scert.kerala.gov.in/qp_plus2.htm

some practice questions on some topics in math are available at
rbmix.com


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Saturday, March 14, 2009

how to tie a tie videos

how to tie a tie videos


how to tie a bow tie




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equation of tangent at (0,4) on x(y^3)+y+7(x^4) = 4

find the equation of the tangent at (0,4) on x(y^3)+y+7(x^4) = 4

first differentiate the given equation w.r.t.x (implicit differentiation) and extract dy/dx
evaluate dy/dx at (0,4) to get the slope m of the tangent to the curve at (0,4)
use point slope form of a straight line to get the equation of the tangent
other examples:
find the equation of the tangent at (1,1) on x²+y²+xy-3=0 ----tangent on a curve
equation of the tangent at (1,1) on x² +xy+2y² = 4 -----------equation of tangent using calculus
equation of tangent to y =x^4 at the point where x=2
equation of tangent at (e,e) on y = x lnx
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Friday, March 13, 2009

some words

acerbic: acidic tone, mood
benediction: blessing
palindrome: text that reads the same even in reverse eg:malayalam
precipice: a steep place or hazardous situation

rapaciousness: greedy
vertigo: feeling that the body is swaying when the body is actually stationary
yarmulke: cap usually worn by a jewish man

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corned beef and cabbage

corned beef and cabbage seems to be a popular dish in America on St.Patrick's day
It is quite easy to prepare
It basically consists of boiling corned beef brisket in water with spices, pepper corns, till it is tender
then removing the meat and boiling the sliced cabbage in the broth from the beef
and then serving both cooked beef and cabbage with some mustard.

the word corn in corned beef seems to have nothing to do with the grain corn, but seems to refer to the salt put on the beef

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Thursday, March 12, 2009

map resources

india specific maps (seems to be using google maps ?)
http://maplandia.com/india/

satellite images for weather ,insat image
http://imd.gov.in/
http://www.imd.ernet.in/section/satmet/dynamic/sector-ir.htm

yahoo maps
http://developer.yahoo.com/maps/
yahoo india maps with satellite and hybrid options
http://in.maps.yahoo.com/

google maps with satellite and terrain options
http://maps.google.com/

show that 4tan^4+tan^2x-3 = sec^2x(4tan^2x-3)

show that 4tan^4+tan^2x-3 = sec^2x(4tan^2x-3)
first factorise the LHS
then use the formula tan²x + 1 =sec² x

trigonometric identities

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Monday, March 9, 2009

pulinji pictures


pulinji is slightly sour to taste. It is used in fish curry, and also as a pickle

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integral of x^3 / sqrt(9 - x^2) using substitution

integral of x^3 / sqrt(9 - x^2) using substitution
use the substitution t^2 = 9 -x^2 and try to manipulate the numerator as x^2 * xdx

Integration formulae

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Saturday, March 7, 2009

national integration

a nice video on national integration that used to be shown on doordarshan
mile sur mera tumhara

Tuesday, March 3, 2009

laplace transform of sin(t) from definition using integration

using definition findthe laplace transform of sin(t) using integration
using the definition the integral becomes integral of e^(-st) sint dt
which has been evaluated using the formula for integral of e^(ax)sinbx


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Monday, March 2, 2009

integral of arc(cosx)


integral of arc(cosx)
make it into arc(cosx)*1 and use integration by parts

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