The question asks to derive the leading order term. I expand both to 4 terms (up to third derivative) and get identical answers which are just the second derivative divided by delta x. I'm not to...

The question asks to derive the leading order term. I expand both to 4 terms (up to third derivative) and get identical answers which are just the second derivative divided by delta x. I'm not to...

f(μ)+1/2*f''(x)var(f(x)) =f(x)+b{f'(x)+1/2*x f"(x)} where μ=x+b var(f(x))=xb+b^2 how bold and Italic part is derived????

Use zero- through fourth-order Taylor series expansions to predict f(2.5) for: f(x) = ln x using a base point at x = 1. Compute the true percent relative error E% for each approximation. Discuss the...

how would you find the power series representation of x2ln(3-x) using term by term differentiation or integration?

I am being asked to evaluate the first four nonzero terms using Taylor expansion about x=0. I am told the initial value problem is y'=e^y; y(0)=1 and y'(0)=-1. I am not sure how to utilize...

For this equation is the Taylor Series the best approach to wstimate numerically? I am also using Euler’s to compare. Trying to find y(1) given y(x) is a solution to the equation...

Let f(x)=sqrt(x+1); Compute T1,T2 at 0. And by that I mean Taylor . I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)? Please help I have...

Consider the following function values http://oi61.tinypic.com/msoiuc.jpg also given http://oi57.tinypic.com/2cxux5h.jpg a ) Set up a system of equations...

A function has an nth derivative evaluated at x = a that is proportional to n. What is the radius of convergence of the Taylor series of this function expanded about the point x = a?

use formal multiplication to find the taylor series for the following function g(x)=x^3e^(x^2/2).

I have had to calculate the limits for the fraction 1-cos(x) over xsin(pi x) and found the answer to be 1 over 2pi. However, now i have to apply taylor series to the numerator and the denominator...

The answer requires the replacement of the numerator and denominator with a taylor series that will produce the same limit as when lhospitals is applied to the original fraction/equation

Find the Taylor series for f(x)=sin x expanded at about x=(pi/2) and prove that the series converges to sin x for all x

I have already found out the Taylor polynomial of degree 3 f(x) = x³ + 2x² + x − 2 ----> f(1) = 2 f'(x) = 3x² + 4x + 1 -------> f'(1) = 8 f''(x) = 6x...

Find the Taylor Series of g(x) = cos(x2)/x, c=¶/4 ¶ = pi X

Note that (c) is independent component a) Find the 3rd Taylor polynomial for f(x)=x^3+2x^2+x-2 in vicinty of a=1 b) Talk about the error approach in (a) and how it could...