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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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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