how to write in VBA a Taylor series program for f(x)=
(x+2)^(1⁄3) expanded about x =...
how to write in VBA a Taylor series program for f(x)=
(x+2)^(1⁄3) expanded about x = 0. Use approximate relative error to
check for a stopping point for an error of 0.001 for x = 0.291.
P1.
Write the Taylor series for f(x) = cos
x about x = 0.
State the Taylor polynomials T2(x),
T4(x), and T6(x) (note that
T3(x)
will be the same as T2(x), and
T5(x) will be the same as
T4(x)).
Plot f(x), T2(x), T4(x), and T6(x), together on one graph,
using demos
or similar (cut-and-paste or reproduce
below).
Find the Taylor series for f ( x ) centered at the given value
of a . (Assume that f has a power series expansion. Do not show
that R n ( x ) → 0 . f ( x ) = 2 /x , a = − 4
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
The cos(x) function can be represented in a Taylor series shown
below:
Write a Matlab program, and use a while loop, to calculate
cos(150) (the input is in degrees) by adding terms of the series
and stopping when the absolute value of the term that was added
last is smaller than 0.0001.
Make sure to make the required degree <-> radian
conversions.
Use fprintf to print the cos(150) (up to 2 decimal places) and
the number of terms used to...
1) Find the Taylor series (to second order terms) of the
function f(x,y) = x^2 −4x + y + 9 around the point x = 3, y =
−1.
2)Explain why the corresponding Taylor Series (to third order
terms) will be the same as the second-order series.
1. If f(x) = ln(x/4)
-(a) Compute Taylor series for f at c = 4
-(b) Use Taylor series truncated after n-th term to compute f(8/3)
for n = 1,.....5
-(c) Compare the values from above with the values of f(8/3) and
plot the errors as a function of n
-(d) Show that Taylor series for f(x) = ln(x/4) at c = 4 represents
the function f for x element [4,5]