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    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=]
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    (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
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    (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?
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    (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
 
 
 
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