Numerical differentiation. Given the data set: X G(x) -1.00 -0.841 -0.75 -0.682 -0.50 -0.479 -0.25 -0.247 0 0 0.247 0.479 0.682 0.841 0.949 0.997 0.984 0.909 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 Calculate the following to 3 d.p: a) The forward difference at x=0.75 b) The backward difference at x= -0.75 0 c) The central difference at x = 0.25

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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Numerical differentiation. Given the data set:
X
G(x)
-1.00 -0.841
-0.75 -0.682
-0.50 -0.479
-0.25 -0.247
0
0
0.25
0.247
0.50
0.479
0.75
0.682
0.841
0.949
0.997
0.984
0.909
1.00
1.25
1.50
1.75
2.00
Calculate the following to 3 d.p:
a) The forward difference at x=0.75
b) The backward difference at x = -0.75
0
c) The central difference at x = 0.25
d) The central difference at x = 1.25
Transcribed Image Text:Numerical differentiation. Given the data set: X G(x) -1.00 -0.841 -0.75 -0.682 -0.50 -0.479 -0.25 -0.247 0 0 0.25 0.247 0.50 0.479 0.75 0.682 0.841 0.949 0.997 0.984 0.909 1.00 1.25 1.50 1.75 2.00 Calculate the following to 3 d.p: a) The forward difference at x=0.75 b) The backward difference at x = -0.75 0 c) The central difference at x = 0.25 d) The central difference at x = 1.25
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