how about
0<=(a-b)^2
2ab<=a^2+b^2
2ab<=a^2+b^2
therefore
2*sum(ab)<=sum(a^2)+sum(b^2)
Where the RHS converges
As the LHS converges absolutely sum(ab) converges?
Any ideas about the examples?
[PLAIN]http://img35.imageshack.us/img35/9916/unledis.png
this is from a past...
Homework Statement
[PLAIN]http://img11.imageshack.us/img11/4384/unledqr.png
Homework Equations
The Attempt at a Solution
How do I show the series of an*bn converges?
Thanks :) It is annoying when they set questions where there just seems to be some arbitrary factorization which you can spend hours on and learn relatively little from. Have a good day!
Hmm.. yes I have covered some of that, but nothing I can see that'll help in this situation.
the question seems to be wanting you to use a Jacobian etc.. maybe involving the first part
Homework Statement
[PLAIN]http://img542.imageshack.us/img542/5600/unledsn.png
Homework Equations
The Attempt at a Solution
The first part is fine, just struggling to find a change of variables that'll help, tried spherical due to the x^2+y^2+z^2, didn't help enormously
Thanks!
(from sheet...
Homework Statement
[PLAIN]http://img9.imageshack.us/img9/4537/unledow.png
Homework Equations
The Attempt at a Solution
Hi, does anyone know how to find the integral that needs to be evaluated here? I can't understand how to find it from the region
edit: Oh and this is from here, not a take...
Homework Statement
[PLAIN]http://img689.imageshack.us/img689/6294/08052011193408.jpg
Homework Equations
The Attempt at a Solution
Hi, I would really appreciate some help on part a, I'm simply getting no where. This is classed as a geometry question, but I haven't covered...
Homework Statement
[PLAIN]http://img812.imageshack.us/img812/5261/unleduqi.png
Homework Equations
The Attempt at a Solution
Can anyone help with part (a)ii, is pk=(1/2)^k? I can't see how to find qk