1. From the Table as shown, use: (a) linear interpolation, (b) quadratic interpolation, and each method. Round off to four decimals. Newton's divided difference interpolation to approximate tan 1.15. For linear interpolation, use x0 = 1.1 and x1 = 1.2. Determine the error for X 1 1.1 1.2 1.3 tan x 1.5574 1.9648 2.5722 3.6021 2. Determine the approximate value of y if x = 1.5 for the data set {(-1, 5), (0, 1), (1, 1), (2, 11)) by Newton's divided difference interpolation. Round off to three decimals.
1. From the Table as shown, use: (a) linear interpolation, (b) quadratic interpolation, and each method. Round off to four decimals. Newton's divided difference interpolation to approximate tan 1.15. For linear interpolation, use x0 = 1.1 and x1 = 1.2. Determine the error for X 1 1.1 1.2 1.3 tan x 1.5574 1.9648 2.5722 3.6021 2. Determine the approximate value of y if x = 1.5 for the data set {(-1, 5), (0, 1), (1, 1), (2, 11)) by Newton's divided difference interpolation. Round off to three decimals.
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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Transcribed Image Text:1. From the Table as shown, use: (a) linear interpolation, (b) quadratic interpolation, and (c) Newton's divided difference interpolation to approximate tan 1.15. For linear interpolation, use x0 = 1.1 and x1 = 1.2. Determine the error for
each method. Round off to four decimals.
1
1.1
1.2
1.3
tan x
1.5574
음
1.9648
2.5722
3.6021
2. Determine the approximate value of y if x = 1.5 for the data set {(-1, 5), (0, 1), (1, 1), (2, 11)} by Newton's divided difference interpolation. Round off to three decimals.
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