Find the Taylor polynomial of degree 2 centered at a = 1 for the
function f(x)...
Find the Taylor polynomial of degree 2 centered at a = 1 for the
function f(x) = e^(2x) . Use Taylor’s Inequality to estimate the
accuracy of the approximation e^(2x) ≈ T2(x) when 0.7 ≤
x ≤ 1.3
Using the function f(x)=ln(1+x)
a. Find the 8 degree taylor polynomial centered at 0 and
simplify.
b. using your 8th degree taylor polynomial and taylors
inequality, find the magnitude of the maximum possible error on
[0,0.1]
c.approximate ln(1.1) using your 8th degree taylor polynomial.
what is the actual error? is it smaller than your estimated
error?Round answer to enough decimal places so you can
determine.
d. create a plot of the function f(x)=ln(1+x) along with your
taylor polynomial. Based on...
2.
a) Find Ts(x), the third degree Taylor polynomial about x -0,
for the function e2
b) Find a bound for the error in the interval [0, 1/2]
3. The following data is If all third order differences (not
divided differences) are 2, determine the coefficient of x in P(x).
prepared for a polynomial P of unknown degree P(x) 2 1 4
I need help with both. Thank you.
Find/calculate the 3rd degree Taylor polynomial of the function f(x) = xcos(x) that is in the heighborhood of x = 0 as well as the heighborhood of x = (π/2)
Find/calculate the 3rd degree Taylor polynomial of the function f(x) = xcos(x) that is in the heighborhood of x = 0 as well as the heighborhood of x = (π/2)
1. Find Taylor series centered at 1 for f(x) = e^ (x^2). Then
determine interval of convergence.
2. Find the coeffiecient on x^4 in the Maclaurin Series
representation of the function g(x) = 1/ (1-2x)^2
(a) Determine the Taylor Series centered at a = 1 for the
function f(x) = ln x.
(b) Determine the interval of convergence for this Taylor
Series.
(c) Determine the number n of terms required to estimate the
value of ln(2) to within Epsilon = 0.0001.
Can you please help me solve it step by step.
Find polynomial of degree at most 1 best approximates function
f(x) = ex in the sense of uniform approximation on
[0,1]. give the error of approximation of the function f with this
polynomial.