a. Find the nth-order Taylor polynomials of the given function centered at the given point a, for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x) = cos x, a = a. Find the Taylor polynomial of order 0. Choose the correct answer below. O A. Po(x) = 0 V3 O B. Po(x)= - 2 6. V3 O C. Po(x) = O D. Po(x) = 1 Find the Taylor polynomial of order 1. V3 1 5n O A. p1(x) = X- 6 V3 O B. p, (x) = - 2 O C. p, (x) = x- 6. V3 2 O D. P1 (x) = X- 2 6. 6.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6. 

a. Find the nth-order Taylor polynomials of the given function centered at the given point a, for n = 0, 1, and 2.
b. Graph the Taylor polynomials and the function.
f(x) = cos x, a =
a. Find the Taylor polynomial of order 0. Choose the correct answer below.
O A. Po(x) = 0
V3
O B.
Po(x)= -
2
6.
V3
O C. Po(x) =
O D. Po(x) = 1
Find the Taylor polynomial of order 1.
V3 1
5n
O A. p1(x) =
X-
6
V3
O B. p, (x) = -
2
O C. p, (x) = x-
6.
V3
2
O D.
P1 (x) =
X-
2
6.
6.
Transcribed Image Text:a. Find the nth-order Taylor polynomials of the given function centered at the given point a, for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x) = cos x, a = a. Find the Taylor polynomial of order 0. Choose the correct answer below. O A. Po(x) = 0 V3 O B. Po(x)= - 2 6. V3 O C. Po(x) = O D. Po(x) = 1 Find the Taylor polynomial of order 1. V3 1 5n O A. p1(x) = X- 6 V3 O B. p, (x) = - 2 O C. p, (x) = x- 6. V3 2 O D. P1 (x) = X- 2 6. 6.
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