motown

I'm trying to sell some old hardbacks from the 50s and 60s. I've listed them on eBay, but is having an Amazon marketplace store more worth it (I don't want to put that much time into it). Alternatively, is another website my best option?

I melted a plastic packet on a hob and have tried using a damp cloth and scraping it with a knife with no success. How can I get it off?

I'm looking to sell a crate of 12 750ml bottles of Portuguese Port.

They are 1991 Taylor's Quinta de Terra Feita, can anyone provide an accurate evaluation?

Exercise 4. Let I be an open interval in R and let f : I -> R be a differentiable function.

(1) Prove that the set T = {(x, y) in I × I : x < y} is a connected subset of R2 with the standard

topology.

(2) Let g : T -> R be the function defined by

g(x, y) =(f(x) − f(y))/(x − y)

.

Prove that g(T) (open) is a subset of f '(I) is a subset of g(T) (closed).

Any help on this would be much appreciated. Thanks

r:Square -> Circle has been given as r(x,y) = (x/sqrt(x^2+y^2),y/sqrt(x^2+y^2)), the radial projection from square to circle. I've proved the trivial facts that r is a bijection between the square and the circle. How do I prove r and its inverse are continuous to show r is a homeomorphism?

A couple of questions:

1) Calculate the integral between (+/-) infinity of log(z+i)/(z^2+1) dz taking the branch along the positive real-axis and deduce the integral between 0 and infinity of log(x^2+1)/(x^2+1)dx =(pi)*log2.

2) Calculate the integral of ((logz)^2)/(z^2+z+1) around a keyhole contour and deduce the values of the intrgral between 0 and infinity of logx/(x^2+x+1) dx and the integral between o and infinity of dx/(x^2+x+1).

Any help much appreciated.

1. Using Jordan's Inequality,

show that the integral from 0 to infinity of (x^3)*sinx/(x^4+1) dx = (pi/2)*exp(-1/sqrt(2))*cos(1/sqrt(2))

2. Prove that the integral between (+/-) infinity of

sin(pi(x))/(x^3-1) dx = (pi/3)(sqrt(3)*exp(-sqrt(3)*pi/2)-1)

I know an indentation is needed in the contour but would like some more help if possible.

Thank you in advance for helping me with these, 10 points to a good answer.

Can anyone help with 3 Laurent Expansions for me (10 points):

1) Find the principal part of the Laurent expansion of the function 1/(cos(z)-1)^2 in the annulus 0<|z|<pi.

2) Find the principal part of the Laurent expansion of the function 1/(sinz)^3 in the same annulus

3) Find the principal part of the Laurent expansion of the function 1/(z^2+4) about the point 2i.

Can you show your working please, I know you have use the series for cos and sin for 1 and 2 and some sort of geometric progression for 3 but would appreciate the details.

Thanks for the help.

please can you help with this question:

the integral with respect to s of (3x^2+3y^2)^0.5 over the hyperbola x^2-y^2=1 from (1,0) to (cosh2,sinh2).

Any help is much appreciated, I don't get why it is with respect to s.

I need help with the convention of differentiating the following integral with respect to x, xx, t and tt.

y(x,t)=1/2c*integral between x+ct and x-ct of g(s) ds. g is differentiable.

Much appreciation for any answers, I know these aren't the most interesting of questions!!

Need help with the following question:

Using polar coordinates, evaluate the following integral:

cos(x^2+y^2) dx dy over the region x^2+y^2< (or equal to) 9, x > (or equal to) 0.

I know that the region is the semi-circle, centre the origin with radius 3 above the x-axis and that after evaluating the jacobian dxdy becomes rdrd(theta) but how do you integrate rcos(r^2) dr.

Much appreciation goes to any answers.

been wondering this for a while - skeleton key would make a gr8 movie!

anybody seen it and has a comment

I am looking into buying an xbox 360. Though I want to spend as little as possible, what are the essentials that I must not be without such as memory capacity etc etc. Any further suggestions as to any other kit needed not in the basic kit such as charger for controllers, xbox live membership, what is a sensible budget before I start buying games for it. I am grateful for any advice Oh and is a pre-owned console a good option or is it risky buying one due to condition errors etc.

What is the piece of music that played out Durham at this years Twenty20?

what are the catches to the free airtime offer - has anyone had any problems with it?

I only have 4 remaining stickers to collect

Emre Asik - Turkey

Gabriel Tamas - Romania

Lassana Diarra - France

Olof Mellberg - Sweden

Can anyone help me - I have whole teams to swap in return. If so PM me and i'll give you my address

Can the pass issued be used on all Solent Bluestar before the end of the term as I have to get in much later and leave much earlier on lots of my days.

where can u get codes other than the euro 2008 website

How often do you win if you enter with 2 points in the cokezone. How many songs should i win with 7 entries