Hi,I need help! We’re doing second order approximation which is ok but to find more accurate results, we have to use MACLAURINS THEOREM, I’ve been looking at books for weeks now and can’t get a grip of it.
The question is “using Maclaurins Theorem or otherwise, obtain the power series for
e-kh
We have to show how we differentiate it for f `, f `` etc..
We then have to put it into a polynominal to recheck our results,I hope this means something to someone out there!!
THANKS FOR YOUR TIME!!
hello there captain black,
I feel I'm inching closer to what my tutor wants.
The assignment is about atmospheric pressure using the equation
p = Ae to the power of -kh
We were doing second order approximations to find the values of p pressure
at different heights (h) from 0m to 10000m at intervals of 1000m using our intercept (A)(109.95) and our gradient k(-.00014),the second order approximation we were using was;
1-kh+kh2/2! but every time I try to use Maclaurins for it,I end up with similar answers or just a constant answer?
I'm tearing my hair out!!
p.s I think e to the power of -kh may be constant (if this is possible)
thanks again..
A(intercept)=109.95
k(gradient)=0.00014
Is it as simple as just putting these into that equation? Is that not just the same basis second order approximation we used the first time? Surely that's not using Maclaurins Theorem?