1+ + cos(x) that is defined over 10.41 with a step Problem 1: Given f(x) (h)-1. Solve points (1, 2, 3, 4, and 5) based on divided difference interpolation. 1) The value of the terms x x Xx4] and [x2] are respectively (D) None 2) The maximum number of 3d order polynomials we can get is (D) None 80.51 15
1+ + cos(x) that is defined over 10.41 with a step Problem 1: Given f(x) (h)-1. Solve points (1, 2, 3, 4, and 5) based on divided difference interpolation. 1) The value of the terms x x Xx4] and [x2] are respectively (D) None 2) The maximum number of 3d order polynomials we can get is (D) None 80.51 15
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Problem 1
Solve Q2
![Problem 1: Given f(x) - 1+
+cos(x) that is defined over 10.4) with a step
(h)-1. Solve points (1, 2, 3, 4, and 5) based on divided difference interpolation.
1) The value of the terms f/x: x x4 and fx AX2K+ A4 are respectively
(D) None
(A)-1,43
2) The maximum number of 3d order polynomials we can get is
(A) 2
(C) 3
(D) None
3) the absolute error [P:(0.5) (0.5) is.
(A) 2.5
(B) 0.5
4) Starting from (x-1), P:(1 5) is.
(A) 3.5
(B) 2.25
(C) 0.25
5) The first derivative of P(x) at x-1 18.
(B) 6
(A) 7
(C) 5
6) P2(s) at x=0 is:
(A) 12
(C) 4.75
(B) 16
(D) None
Problem 2: Given f(x) = 1 + x² + cos(x) that is defined over 10,4] with a step
(h) = 1. Solve points (6, 7, 8, and 9) based on Difference table (N.G.F.).
(D) None
9) The second derivative of P3(s) at x=0) is:
(A) 10
(B) 14
(C) 23
(D) None
(C) 18
(D) None
7) Starting from (x-1), The second derivative of P2(s) at x-1 using central
derivative is:
(A) 6
(B)-2
(C)-8
(D) None
8) Starting from (x-1), the first derivative of P(s) at x=1 is.
(B) 22/3
(A) 26/3
(C) -20/3
(D) None
(D) None](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c98319f-f7dd-43b6-afb0-8ac8c44bf313%2F5c2c1cc6-d0c1-4071-9020-a6228b94ace2%2Fmekpw7d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1: Given f(x) - 1+
+cos(x) that is defined over 10.4) with a step
(h)-1. Solve points (1, 2, 3, 4, and 5) based on divided difference interpolation.
1) The value of the terms f/x: x x4 and fx AX2K+ A4 are respectively
(D) None
(A)-1,43
2) The maximum number of 3d order polynomials we can get is
(A) 2
(C) 3
(D) None
3) the absolute error [P:(0.5) (0.5) is.
(A) 2.5
(B) 0.5
4) Starting from (x-1), P:(1 5) is.
(A) 3.5
(B) 2.25
(C) 0.25
5) The first derivative of P(x) at x-1 18.
(B) 6
(A) 7
(C) 5
6) P2(s) at x=0 is:
(A) 12
(C) 4.75
(B) 16
(D) None
Problem 2: Given f(x) = 1 + x² + cos(x) that is defined over 10,4] with a step
(h) = 1. Solve points (6, 7, 8, and 9) based on Difference table (N.G.F.).
(D) None
9) The second derivative of P3(s) at x=0) is:
(A) 10
(B) 14
(C) 23
(D) None
(C) 18
(D) None
7) Starting from (x-1), The second derivative of P2(s) at x-1 using central
derivative is:
(A) 6
(B)-2
(C)-8
(D) None
8) Starting from (x-1), the first derivative of P(s) at x=1 is.
(B) 22/3
(A) 26/3
(C) -20/3
(D) None
(D) None
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