credit. Solve the following problems using the specified techniques and round off computed values to 5 decimal places. 1. Determine the root of the given function using Interhalving (Bisection) method. Tabulate the results. Use Ea ≤ 0.00001 f(x) = 0.4x³x²-0.2e-0.3x 2. Determine the root of the given function using Regula-Falsi method with Ea ≤ 0.00001 Tabulate the results f(x) = 0.4x³x²-0.2e-0.3x

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Instructions: Solve the following problems in excel and show the step-by-step solution. Write
down your name, e-signature, course, section and submit the answers in PDF format. Insert the
screen shot of your excel work in each problem in the document and upload it using the
provided link. Please do not be late in the submission of the soft copy. No soft copy submitted
means failure to comply. Note that if the sent homework is unclear or unreadable there is no
credit.
Solve the following problems using the specified techniques and round off computed values to
5 decimal places.
1. Determine the root of the given function using Interhalving (Bisection) method. Tabulate the
results. Use Ea ≤ 0.00001
f(x) = 0.4x³x² -0.2e-0.3x
2. Determine the root of the given function using Regula-Falsi method with Ea ≤ 0.00001
Tabulate the results
f(x) = 0.4x³x² -0.2e-0.3x
3. Determine the root of the given function using Fixed point iteration method with Ea
0.00001 and show the step-by-step solution.
f(x) = 0.4x³x² -0.2e-0.3x
4. Determine the root of the given function using Secant method with Ea ≤0.00001 and show
the step-by-step solution.
f(x) = 0.4x³x² -0.2e-0.3x
5. Determine the root of the given function using Newton-Raphson method with Ea ≤ 0.00001
and show the step-by-step solution.
f(x) = 0.4x³x² -0.2e-0.3x
6. Evaluate for the all the roots of the function using Bairstow's method with r = s = 0.
Terminate if Er = Es < 0.00855%
f(x) = -3.704x3 + 16.3x2 − 21.97x + 9.34
7. Evaluate a root using Muller's method from the function. Terminate if Es < 0.00255%
f(x) = -3.704x3 + 16.3x2 -21.97x + 9.34
Transcribed Image Text:Instructions: Solve the following problems in excel and show the step-by-step solution. Write down your name, e-signature, course, section and submit the answers in PDF format. Insert the screen shot of your excel work in each problem in the document and upload it using the provided link. Please do not be late in the submission of the soft copy. No soft copy submitted means failure to comply. Note that if the sent homework is unclear or unreadable there is no credit. Solve the following problems using the specified techniques and round off computed values to 5 decimal places. 1. Determine the root of the given function using Interhalving (Bisection) method. Tabulate the results. Use Ea ≤ 0.00001 f(x) = 0.4x³x² -0.2e-0.3x 2. Determine the root of the given function using Regula-Falsi method with Ea ≤ 0.00001 Tabulate the results f(x) = 0.4x³x² -0.2e-0.3x 3. Determine the root of the given function using Fixed point iteration method with Ea 0.00001 and show the step-by-step solution. f(x) = 0.4x³x² -0.2e-0.3x 4. Determine the root of the given function using Secant method with Ea ≤0.00001 and show the step-by-step solution. f(x) = 0.4x³x² -0.2e-0.3x 5. Determine the root of the given function using Newton-Raphson method with Ea ≤ 0.00001 and show the step-by-step solution. f(x) = 0.4x³x² -0.2e-0.3x 6. Evaluate for the all the roots of the function using Bairstow's method with r = s = 0. Terminate if Er = Es < 0.00855% f(x) = -3.704x3 + 16.3x2 − 21.97x + 9.34 7. Evaluate a root using Muller's method from the function. Terminate if Es < 0.00255% f(x) = -3.704x3 + 16.3x2 -21.97x + 9.34
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