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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. tan x 1 1.5574 1.1 1.9648 1.2 2.5722 1.3 3.6021

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. tan x 1 1.5574 1.1 1.9648 1.2 2.5722 1.3 3.6021

Advanced Engineering Mathematics
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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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. tan x 1 1.5574 1.1 1.9648 1.2 2.5722 1.3 3.6021
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. tan x 1 1.5574 1.1 1.9648 1.2 2.5722 1.3 3.6021
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