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)
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 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
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.
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...
Give an example of a function whose Taylor polynomial of degree
1 about x = 0 is closer to the values of the function for some
values of x than its Taylor polynomial of degree 2 about that
point.
1. Find the Taylor polynomial of degree ?=3 for ?(?)=?−?22
expanded about ?0=0.
2. Find the error the upper bound of the error term
?5(?) for the polynomial in part (1).