12. Let f(a) be a function with f(1) = 2, f'(1) = 6, f"(1) = -12. Which of the following is the second degree Taylor polynomial for f(r) centered around a = 17 (a) 2+ 6r-12r² (b) 2+ 6(x-1)- 12(x - 1)² (d) 2+ 6x-62² (e) 2+ 6(x-1)-6(x-1)² (g) 2+3x-2x² (h) 2+3(x-1)-2(x - 1)² (j) There is not enough information to determine the answer (k) None of these is correct. (c) 2+ 6(x+1)- 12(z + 1)² (f) 2+ 6(x+1)-6(z + 1)² (1) 2+ 3(x+1)-2(x + 1)²
12. Let f(a) be a function with f(1) = 2, f'(1) = 6, f"(1) = -12. Which of the following is the second degree Taylor polynomial for f(r) centered around a = 17 (a) 2+ 6r-12r² (b) 2+ 6(x-1)- 12(x - 1)² (d) 2+ 6x-62² (e) 2+ 6(x-1)-6(x-1)² (g) 2+3x-2x² (h) 2+3(x-1)-2(x - 1)² (j) There is not enough information to determine the answer (k) None of these is correct. (c) 2+ 6(x+1)- 12(z + 1)² (f) 2+ 6(x+1)-6(z + 1)² (1) 2+ 3(x+1)-2(x + 1)²
Linear Algebra: A Modern Introduction
4th Edition
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Author:David Poole
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Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 17EQ
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Solve 12,13,14 please
![12. Let f(a) be a function with f(1) = 2, f(1) = 6, f"(1) = -12. Which of the following is the
second degree Taylor polynomial for f(a) centered around a = 1?
(a) 2 +6r-12r²
(d) 2 + 6x - 6x²2
(b) 2+ 6(x-1)- 12(x - 1)²
(e) 2+ 6(x-1)-6(x-1)²
(g) 2+3x-2r²
(h) 2+3(x-1)-2(x - 1)²
(i) There is not enough information to determine the answer
(k) None of these is correct.
13. What is the interval of convergence for the power series f(x)=(x-3)"
n=1
(a) [-7,1]
(e) (-1,7)
(i) {3}
F
MIENIE
(b) (-7,1]
(f) (-1,7)
14. What is the average value of the function f(x) = cos² (x)
(b) 1
(j) 0
(j) (-∞, ∞)
(c) 2+ 6(x + 1) - 12(x + 1)²
(f) 2+ 6(x+1)-6(z + 1)²
(1) 2+ 3(x+1)-2(x + 1)²
(c) (-7,1)
(g) [-1,7)
(e) 2
(8) 1/2
(k) None of these
(d) (-7,1)
(h) (-1,7)
(k) None of these
on the interval [0, π]
(c) T
(f) 2T
7/2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a03efe2-d931-4461-b3ce-5e694888ce83%2F95fd6b45-1315-4171-8163-f5e52a998712%2F2mgns4p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12. Let f(a) be a function with f(1) = 2, f(1) = 6, f"(1) = -12. Which of the following is the
second degree Taylor polynomial for f(a) centered around a = 1?
(a) 2 +6r-12r²
(d) 2 + 6x - 6x²2
(b) 2+ 6(x-1)- 12(x - 1)²
(e) 2+ 6(x-1)-6(x-1)²
(g) 2+3x-2r²
(h) 2+3(x-1)-2(x - 1)²
(i) There is not enough information to determine the answer
(k) None of these is correct.
13. What is the interval of convergence for the power series f(x)=(x-3)"
n=1
(a) [-7,1]
(e) (-1,7)
(i) {3}
F
MIENIE
(b) (-7,1]
(f) (-1,7)
14. What is the average value of the function f(x) = cos² (x)
(b) 1
(j) 0
(j) (-∞, ∞)
(c) 2+ 6(x + 1) - 12(x + 1)²
(f) 2+ 6(x+1)-6(z + 1)²
(1) 2+ 3(x+1)-2(x + 1)²
(c) (-7,1)
(g) [-1,7)
(e) 2
(8) 1/2
(k) None of these
(d) (-7,1)
(h) (-1,7)
(k) None of these
on the interval [0, π]
(c) T
(f) 2T
7/2
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