4. Using the Bisection Method, manually solve for some roots X₁ and x2 of the given transcendental equation and the approximate error Ea for X₁ and Ea for X2 using two iterations. The value of X₁ and X2 is the value of xm after two iterations in each root- finding process. Use 10 decimal places for the computation in evaluating the function while 5 decimal places for the computation of the root. cos(x) - sin(3x) = 0 Use the following x, and xu to compute for the roots X₁ and x2. Results will be compared later to the results in Excel Worksheet. X1 X2 XI -4 -1 Xu -2.5 0.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Using the Bisection Method, manually solve for some roots X₁ and X2 of the given
transcendental equation and the approximate error &a for X₁ and Ea for X2 using two
iterations. The value of x₁ and X2 is the value of xm after two iterations in each root-
finding process. Use 10 decimal places for the computation in evaluating the function
while 5 decimal places for the computation of the root.
cos(x) - sin(3x) = 0
Use the following x, and xu to compute for the roots X₁ and x2. Results will be compared
later to the results in Excel Worksheet.
X1
X2
XI
-4
-1
Xu
-2.5
0.5
Transcribed Image Text:4. Using the Bisection Method, manually solve for some roots X₁ and X2 of the given transcendental equation and the approximate error &a for X₁ and Ea for X2 using two iterations. The value of x₁ and X2 is the value of xm after two iterations in each root- finding process. Use 10 decimal places for the computation in evaluating the function while 5 decimal places for the computation of the root. cos(x) - sin(3x) = 0 Use the following x, and xu to compute for the roots X₁ and x2. Results will be compared later to the results in Excel Worksheet. X1 X2 XI -4 -1 Xu -2.5 0.5
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