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Old 18th November 2011, 04:40 PM   #1 (permalink)
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maclaurin series

small angle appox..
..
AC ≈ (4+3x)^(1/2)
=2(1+(3/4)x^2)^(1/2)
≈2(1+(1/2)(3/4)x^2)

why?!

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Last edited by specstator; 18th November 2011 at 04:41 PM.
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Old 18th November 2011, 05:16 PM   #2 (permalink)
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Re: maclaurin series

If I am not mistaken, is this regarding a past A level question which involves a triangle and using the cosine rule to find the side AC?

Anyways its binomial expansion, not maclaurin's series. If you are in JC you should know that for things to operate properly, the block targeted for expansion must be of the form (1+f(x) ) ^ n ; hence the dragging of 4^(1/2)=2 to the outside of the main block. Hope this helps. Peace.


Last edited by whitecorp; 18th November 2011 at 05:16 PM.
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Old 18th November 2011, 05:47 PM   #3 (permalink)
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Re: maclaurin series

OH YEA.. thanks, this was the worked solution for my post-promo assmt, formula totally slipped my mind lol.

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Old 19th November 2011, 12:07 AM   #4 (permalink)
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Re: maclaurin series

No problem. Peace.

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