ducduyaktt

let f be a function that the graph of f is semicircle with endpoints (a,0) and (b,0) where a 18. The improper integral :[ integral(from a to b) f(x)f'(x)dx ] is necessarily ZERO. Could anyone please explain it for me? Thanks And ONE more question : which letter is not homomorphic to letter C? J, N, S, O, U Thanks so much

You are right, I forgot to count 0 as an even number less than 5. B must have 3 elements. so the answer is A

Thanks you all for your advices. I highly appreciate that. And looking forward to hearing more from you.

Thanks. 1. Have you taken any economics classes? I haven't taken any economic classes yet, all of classes I took were very pure maths, such as : Differential equations, advance linear algebra, statistics, real analysis, applied complex analysis, complex analysis, point set topology ... 2. What are your research interests? I'm not sure about what I should continue studying . I did talk to some friends who are in economics and they told me maths was good for who wanting to follow finance but It is not guaranteed for success . 3. What made you consider switching from math to economics or finance? The first time, I thought maths was number one for me, I liked to study it more than any other majors but now I think I don't want to follow it any more because of the difficulty of job market and don't want to so some thing so abstract that only some persons can understand. thanks so much for your advices and I'm looking forward to hearing from alls.

thanks so much for your advices unitroot.

Dear Alls, I will be done with my master in pure maths next winter in a university in U.S.A. I definitely don't want to study pure maths anymore so I thinking about apply for PhD in finance or economics. Here is my profile : GPA : 4.0/4.0 Publications : none LORs : I think I will have very good LORs from some profs. in my department . GRE : Not taken yet but I will take it in October - Because I don't have much time to prepare so I guess I will get about 1000 - 1100 could you please give me some advices on : Which university should i apply for? and are there any universities which can waive GRE ? thanks so much and I'm looking forward to hearing from you.

thanks so much for the link

Dear Meditator, I think you should choose iBT TOEFL and start finding all materials relating to iBT Toefl. I think Toefl is not easy and there are no differences between C.B.T or P.B.T, they are the same difficulty so you must decide which to take . I know that P.B.T is now no longer used or accepted. iBT Toefl is preferer !

Dear Alibaba01, My name is N.D.Duy, from VN too. I also intend to take iBT Toefl soon but I just only have some CDs about it and have no books about iBT TOEFL so could you please share with me those books ! Ah, If you don't my please contact with me via Yahoo ID : ducduyaktt@yahoo.com . If you need CDs about iBT Toefl please send mail to me : nducduy@gmail.com or you can also go to TOEFL forum of this forum to download CDs I had sent onto, and its type is : "LongMan Pre iBT ....". GOOK LUCK !