Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 1E
Related questions
Question
Number 6 please
![4. Accuracy of a Taylor Polynomial In general,
how does the accuracy of a Taylor polynomial change
as the degree of the polynomial increases? Explain your
reasoning.
P2(x)
14. f(x) = sec x, c ="
Matching In Exercises 5–8, match the Taylor polynomial
approximation of the function f(x) = e-*x²/2 with its graph.
[The graphs are labeled (a), (b), (c), and (d).]
P,(x) = /2 +
%3D
(a)
-2.15 0.58
(b)
y
f(x)
2
P(x)
-2
15. Conjecture Com
Maclauin polynom
-2+
Pe (a) Use a graphi
poiynomial ap
(c)
(d)
y
(b) Evaluate and
n = 2, 4, anc
(c) Use the resn
fla (0) and A
-2 -1
-1
2.
-1-
16. Conjecture
-2+
-27
(a) Find the M
5. g(x) = - + 1
6. g(x) = r* – {x? + 1
(b) Use a grap
(c) Evaluate a
n = 2, 3,
7. g(x) = e-1/2[(x + 1) + 1]
8. g(x) = e-/2[}(x - 1) – (x – 1) + 1]
(d) Use the
f(n)(0) an
First-Degree
Polynomial
Finding
Approximation In Exercises 9-12, find a first-
degree polynomial function P, whose value and
slope agree with the value and slope of f at x = c.
Use a graphing utility to graphf and P.
Fin
Exc
for
17. f(x) = e*r
10. f(x)
6.
C = 8
19. f(x) = sir
9. f(x)
C = 4
3/
4 '
21. f(x) = xe
11. f(x)
C =
6.
23. f(x) =
= sec x,
C =
25. f(x) =
12. f(x) = tan x,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c6498a8-12ee-487a-ac82-1eaa27ef166d%2F96bce474-55f7-4596-87d5-88d8d4d2c42b%2Ffni5vxc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Accuracy of a Taylor Polynomial In general,
how does the accuracy of a Taylor polynomial change
as the degree of the polynomial increases? Explain your
reasoning.
P2(x)
14. f(x) = sec x, c ="
Matching In Exercises 5–8, match the Taylor polynomial
approximation of the function f(x) = e-*x²/2 with its graph.
[The graphs are labeled (a), (b), (c), and (d).]
P,(x) = /2 +
%3D
(a)
-2.15 0.58
(b)
y
f(x)
2
P(x)
-2
15. Conjecture Com
Maclauin polynom
-2+
Pe (a) Use a graphi
poiynomial ap
(c)
(d)
y
(b) Evaluate and
n = 2, 4, anc
(c) Use the resn
fla (0) and A
-2 -1
-1
2.
-1-
16. Conjecture
-2+
-27
(a) Find the M
5. g(x) = - + 1
6. g(x) = r* – {x? + 1
(b) Use a grap
(c) Evaluate a
n = 2, 3,
7. g(x) = e-1/2[(x + 1) + 1]
8. g(x) = e-/2[}(x - 1) – (x – 1) + 1]
(d) Use the
f(n)(0) an
First-Degree
Polynomial
Finding
Approximation In Exercises 9-12, find a first-
degree polynomial function P, whose value and
slope agree with the value and slope of f at x = c.
Use a graphing utility to graphf and P.
Fin
Exc
for
17. f(x) = e*r
10. f(x)
6.
C = 8
19. f(x) = sir
9. f(x)
C = 4
3/
4 '
21. f(x) = xe
11. f(x)
C =
6.
23. f(x) =
= sec x,
C =
25. f(x) =
12. f(x) = tan x,
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