(a) Apply the secant method to approximate the root location for the function: f(x) = -0.7x² +3.3x + 4.5 Start with initial guesses of x-1 = -4.0 and x = -3.0. Complete three iterations of the method. Show your work and place your answers in the following table. Iteration 1 2 3 X1-1 -4.0 X₁ -3.0 X1+1 Root estimate after 3 iterations = % Relative Approximation Error

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Apply the secant method to approximate the root location for the function:
f(x) = -0.7x² +3.3x + 4.5
Start with initial guesses of x-1 = -4.0 and x = -3.0. Complete three iterations of the
method. Show your work and place your answers in the following table.
Iteration
1
2
3
X1-1
-4.0
X1
-3.0
XH+1
Root estimate after 3 iterations =
% Relative
Approximation
Error
Transcribed Image Text:(a) Apply the secant method to approximate the root location for the function: f(x) = -0.7x² +3.3x + 4.5 Start with initial guesses of x-1 = -4.0 and x = -3.0. Complete three iterations of the method. Show your work and place your answers in the following table. Iteration 1 2 3 X1-1 -4.0 X1 -3.0 XH+1 Root estimate after 3 iterations = % Relative Approximation Error
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