You are Here: Home >< Maths

# Power Series (first year uni level) Rep on offer :-) watch

1. Expand as a power series in two variables, up to and including powers of 2, the function e^((x^2)y) about (2, 1).

Hi, having problems with this question, I'm not quite sure what it's asking me to do, I need quite a bit of help here :/ i've never came across a question like this, i mean with y in it too o_O

All help will be greatly appreciated, and ill rep the most helpful answer=]
2. (Original post by Jukukiwaiyi)
Expand as a power series in two variables, up to and including powers of 2, the function e^((x^2)y) about (2, 1).

Hi, having problems with this question, I'm not quite sure what it's asking me to do, I need quite a bit of help here :/ i've never came across a question like this, i mean with y in it too o_O

All help will be greatly appreciated, and ill rep the most helpful answer=]
You need to know the Taylor series for two variables and your answer will be in the form

a + bX + cY + dX^2 + eXY + fY^2

for constants a,b,c,d,e,f which you need to work out and where

X = x-2 and Y = y-1
3. (Original post by RichE)
You need to know the Taylor series for two variables and your answer will be in the form

a + bX + cY + dX^2 + eXY + fY^2

for constants a,b,c,d,e,f which you need to work out and where

X = x-2 and Y = y-1
Hmmmm, I'm still getting a bit stuck on what you mean, where do I start, what you're explaining there doesn't look much like anything in the handout the lecturer gave us =x

is there any example you can find anywhere?
4. (Original post by Jukukiwaiyi)
Hmmmm, I'm still getting a bit stuck on what you mean, where do I start, what you're explaining there doesn't look much like anything in the handout the lecturer gave us =x

is there any example you can find anywhere?
Look at the several variable version of Taylor's Theorem on wikipedia

http://en.wikipedia.org/wiki/Taylor%...eral_variables

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: January 18, 2010
Today on TSR

### He lied about his age

Thought he was 19... really he's 14

### University open days

Wed, 25 Jul '18
2. University of Buckingham
Wed, 25 Jul '18
3. Bournemouth University
Wed, 1 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams