mixture

find the area of the region {(x,y) / x ² +y ² answer : (pi/4) - (1/2) more explanation on this area question evaluate integral of ( x ² +3x ) with limits 1 to 3 using summation (limit of a sum) answer : (62/3) explanation of integration by limit of sum question evaluate integral of [ x*exp(x)] / (x+1) ² dx answer: exp(x) / (x+1) + C explanation on integration by parts of exp(x)[f(x) + f '(x)] form ∫ { [log x] / x ² } dx log x refers to lnx answer: -(1+ln x ) /x +C explanation on integration by parts for ∫ { [log x] / x² } dx ∫ dx / [ (x-2) (1 + x²)] answer: (1/5)ln(x-2) -(1/10)ln(1 + x²) -(2/5)arctan(x)+C explanation on integration by partial fraction problem on matrices answer : (x= -1) explanation of matrix problem problem on determinant explanation of determinant problem solve x+y = 2 ; 2y-z = 0 ; -x-y+z = -1 using cramer's rule (using determinants) answer : x = 3/2 , y =1/2 , z=1 explanation on solution of equations using cramer...

portion control distinguish between hunger and emotional feelings like anxiety, boredom etc chew your food slowly drink sufficient quantities of water increase physical activities avoid stress cut down on usage of butter snack on fruits instead of candy use steamed food instead of fried cut down on cookies cut down on carbonated beverages use fresh fruits instead of canned fruits with syrup or juice cut down on ice cream avoid high fructose corn syrup (HFCS) this will get rid of most of the junk food use more fish in your diet use lean meat try not to skip breakfast cut down on chips avoid fast food use foods rich in fibre (avoid refined food) use vegetables ----------------------------------------------------------- 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 display...

south africa have won the cricket test series against australia 2-0 by winning the boxing day test match at MCG on 30/12/2008, by 9 wickets. http://news.bbc.co.uk/sport2/shared/fds/hi/statistics/cricket/scorecards/2008/12/15095/html/scorecard.stm http://content-ind.cricinfo.com/ausvrsa2008_09/engine/current/match/351682.html This is australia's first home test series loss in nearly 16 years. In this match australia seemed to be carrying some players who had injuries and some who were out of form. The fall of aussie cricket team seems to have started at the beginning of the year when they lost the perth test against india (even though australia won that series 2-1) . Perth was the last place anyone expected india to beat the australians . In the CB one day series also , India easily defeated the aussies 2-0 in the best of three finals. ----------------------------------------------------------- please leave your comments below --------------------------------------------------------...

In India, as education for medical and engineering studies are becoming more and more costly, particularly in private colleges, it is common for students to take out education loans. Most of the students might be taking on these loans in the hope of landing jobs with high wages as soon as they graduate. But they have to remember that many things can happen in the duration of a 4 to 5 year course. If for some reason, the student has some arrear papers by the time he finishes the course, or if the job market for that particular branch of study is not very strong , the student will find it very hard to find a job to support himself and pay off the student loan (some loans might have a 1 year or so grace period after the course duration before repayment starts. ). Even an average student will only start at an entry level position in his job ladder and will take many years before he might have enough experience to get the high wages that he might have dreamt of as a student. So before y...

evaluate integral of cosz / (2z-5) over |z-3|=2 pole is given by (2z-5)=0 z = 5/2 which lies inside the given circle take the 2 common from the denominator to make it (z-a) form take f(z)=cosz which is analytic inside and on the given contour ----------------------------------------------------------- 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

Disposable email address Most internet users must have seen that some internet sites ask you for your email addresses for registering. After that you will get tons of unwanted spam mail in your inbox and you spend a lot of time to delete them. Spam filters can help a little bit.There is another approach. There are some sites which provide you with alternate disposable temporary email addresses. You can give these temporary addresses when registering. Some of these services will forward the mail to your proper email address. Some of the services have no password so that anyone who knows your id can read your spam mail at the site. Some of the services delete all mail after a certain number of messages/amount of time. Some of the addresses are valid only for a certain periond of ime. Some services require some registration procedure while some allow direct usage.Before using such services please read their terms of services

website counters If you have a website you may like to see the number of people who visit your site, where your visitors come from, which pages are the most popular, which browsers and operating systems your visitors use and so on. Sometimes your web-host themselves may provide you with some of these statistics. If you are using services like geocities they already provide you with some of these statistics. Otherwise you will have to rely on counter solutions available on the internet or make your own counter. Most of the counters available on the internet give you a piece of code which you copy and paste into your webpage. Most of the sites providing these counters will ask for your email address when you sign up. Some of the free counters may send small ads along with the counter. Some examples of third party counters are webstat.com (this counter is used extensively on my site They provide a free version for upto 20000 pageviews per month, and also a premium version/trial ver...

It is sad that something like 8 bills are passed in around 20 minutes (on 23/12/2008 ?) in the indian parliament without much of a debate.(and another 4 on the previous day ! ?) The number of sittings per year of parliament also seems to be decreasing.

.∫ [sin(lnx) ]/ x ² dx use the substitution lnx= u or x = e^u then use the std. formula for integral of {e^(ax)} sinbx given here or use integration by parts and then manipulation as in this example ----------------------------------------------------------- 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 Your Ad Here change <!-- Begin: AdBrite, Generated: 2008-10-10 12:13:44 --> <script type="text/javascript"> var AdBrite_Title_Color = '0000FF'; var AdBrite_Text_Color = '000000'; var AdBrite_Background_Color = 'FFFFFF'; var AdBrite_Border_Color = 'CCCCCC'; var AdBrite_URL_Color = ...

integral of x^4 / (x^4 - 1) first we have to do long division since degree of numerator = degree of denominator then we have to proceed to partial fraction but in this method those have been replaced by adjusting the numerator in terms of the denominator and then dividing term by term integration formulae ----------------------------------------------------------- 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

show that 1/(1-cosx) =(cscx+cotx)cscx start from the LHS, introduce the conjugate simplify the denominator using identity then divide term by term ----------------------------------------------------------- please leave your comments below ------------------------------------------------------------ index of math problems trigonometry formulae for some other examples prove that (cotA+cosecA-1)/(cotA-cosecA+1)=cosecA+cotA -----> ( problem on trigonometry ) Prove that (tanxsinx) / (tanx+sinx) = (tanx-sinx) / (tanx sinx) -----> ( problem on trigonometry ) find exact value of tan[22½ °] or tan (pi / 8 ) -----> ( problem on trigonometry ) find exact value of tan15° without using calculator -------- value of tan15° without using calculator conditional identity : If A+B+C=π, prove that: sinA+sinB+sinC = cot(A/2).cot(B/2) [sinA+sinB-sinC] -----> ( problem on conditional identity (trigonometry) ) graphs of trigonometric functions-----> ( graphs of trigonometri...

solve (x^2)- 2x - 8 = 0 by graphing graph y = x² -2x -8 using a calculator or a piece of paper the graph is shown below see where the graph cuts the x-axis in this problem x = -2 and x=4 are the roots ----------------------------------------------------------- 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

Integration Integration formulae Online guide to certain topics on integration for isc, cbse , plus two etc 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 PAGE 6 INTEGRATION USING PARTIAL FRACTIONS PAGE 7 INTEGRATION OF 1 / [ACOSX +BSINX +C] integral of 1 / [9 + 7 cos² x] integral of x^3 / sqrt(9 - x^2) using substitution integral of tan ² x secx using substitution integral of ln(x) using integration by parts evaluate ∫ [1 / {x lnx}]dx integral of e^(2x) / sqrt [1 + e^(2x)] integral of ∫ { lnx / [x^4]} dx integral of [sin(lnx) ]/ x ² using substitution integration using partial fraction problem on integration using trigonometry formulae integral of sin(5x)sin(8x) integral of arc(cosx) using integration by parts --------------------------------------------------------------------------...

show that log_a [/x] = log_(1/a) [x] use the definition of log refer note on properties of logarithms ----------------------------------------------------------- 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

integral of tan ² x secx using substitution regroup as tanx (secxtanx) change tanx to sqrt(sec ² x -1) use the substitution u = secx ; du =secxtanxdx see below for more steps some other examples evaluate integral of { e^(1 /x^2)} / {x^3} -------------( integration by substitution ) evaluate the integral of [e^(-x) +1] ^2 ------------- integration after expansion using identity integral of e^{x^(1/3)}-------------- e^{x^(1/3)} integral of x / (x+1)^2------------- integration by adjustment integrate 1/ (x^7 - x) - ---------- integration by adjusting integral of ( ( 4 - x^2 )^( 3/2) ) with limits 0 to 1-------------- integration by substitution integral of [cosx (1+sin²x)] with 0 to π /6 as limits------------- integration by substitution ------------------------------------------------------------ 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 ...

cbse has released the model sample question paper for Xth and XII th exams there are answers/ marking scheme also as far as the the math question paper for 12th is concerned the questions were available on their website(contains flash i guess) cbse wesite or in particular http://cbse.nic.in/curric~1/sample2009.htm or http://cbse.nic.in/curric~1/sample.htm a collection of some questions for a quick revision in some topics for 12th students (CBSE, ISC etc) is available here ------------------------------------------------------------ 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

if f(x,y) = x² cos(x/y) + 3xy , show that f satisfies ------------------------------------------------------------ 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