Find the first four distinct Taylor polynomials about x = x 0 , and use a graphing utility to graph the given function and the Taylor polynomials on the same screen. f ( x ) = e − 2 x ; x 0 = 0
Find the first four distinct Taylor polynomials about x = x 0 , and use a graphing utility to graph the given function and the Taylor polynomials on the same screen. f ( x ) = e − 2 x ; x 0 = 0
Find the first four distinct Taylor polynomials about
x
=
x
0
,
and use a graphing utility to graph the given function and the Taylor polynomials on the same screen.
One of the two sets of functions, f1, f2, f3, or g1, 92, 93, is graphed in the figure to the left below; the other set is graphed in the right figure. Points A and
B each have x =
0. Taylor polynomials of degree 2 approximating these functions near x =
0 are as follows:
f1(x) - 5 +x + 2x?
91(x) - 2
- x + 2x2
f2(x) 2 5 + x – x2
92(x) z 2 + x + 2x?
f3(x) 2 5 + x + x?
93(x) z 2 – x + x².
II.
B
(a) Match the functions to the appropriate figure:
f matches ||
g matches | v
(b) What are the coordinates of the points A and B?
A =
В -
(c) Match each function with the graphs (a)--(c) in the appropriate figure.
fi =
?
f2
?
f3 =
?
91 =
?
92 =
?
93 =
?
>
>
>
||
Find the Taylor polynomial of degree 3 for the function f(x) =
X
T3(x) = + (x − 3) + (x − 3)² + (x − 3)³
about x = 3.
Find the third Maclaurin polynomial to f(x) = esinx
Precalculus Enhanced with Graphing Utilities (7th Edition)
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