1. Use the following methods to solve for the root of the equation f(x) = xe * – sinx

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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Base on the given below, what is the unknown values (Method used is Gauss Seidel Method)

1. Use the following methods to solve for the root of the equation
f(x) = xe * – sinx
-
Transcribed Image Text:1. Use the following methods to solve for the root of the equation f(x) = xe * – sinx -
Step 3: Put k=2
x=(-10 - 6x + 3x + 2x3)
=(-106(97.6373)
+ 3(-514.5227) + 2 (914.9796))
= (-309.4329)
-61.8866
=
(9-x-2x + 7x²)
=
(9-9(-61.8866) 2(-514.5227)+7(914.9796))
-
= (7999.8814)
= 1599.9763
x=(-2+3x² - 4x² - 2x²)
=
(-2+ 3(-61.8866) - 4 (1599.9763) 2 (914.9796))
=
+ (-8417.524)
= -8417.524
x=(8 + x²7x² - 4x])
=
(8 + (-61.8866) + 7 (1599.9763)
-
4(-8417.524))
=
= (44816.0433)
= 14938.6811
Step 6
In the table format, we can write the Steps as:
XI
Step
1
2
3
-2
-4.6133
-61.8866
x2
5.4
97.6373
1599.9763
X3
-29.6
-514.5227
-8417.524
X4
54.0667
914.9796
14938.6811
Transcribed Image Text:Step 3: Put k=2 x=(-10 - 6x + 3x + 2x3) =(-106(97.6373) + 3(-514.5227) + 2 (914.9796)) = (-309.4329) -61.8866 = (9-x-2x + 7x²) = (9-9(-61.8866) 2(-514.5227)+7(914.9796)) - = (7999.8814) = 1599.9763 x=(-2+3x² - 4x² - 2x²) = (-2+ 3(-61.8866) - 4 (1599.9763) 2 (914.9796)) = + (-8417.524) = -8417.524 x=(8 + x²7x² - 4x]) = (8 + (-61.8866) + 7 (1599.9763) - 4(-8417.524)) = = (44816.0433) = 14938.6811 Step 6 In the table format, we can write the Steps as: XI Step 1 2 3 -2 -4.6133 -61.8866 x2 5.4 97.6373 1599.9763 X3 -29.6 -514.5227 -8417.524 X4 54.0667 914.9796 14938.6811
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