Numerical Method.

Solve the following problems and complete the tables. Do not round-off values in-between calculations. Express the answers in at least six (6) decimal places, Rounded-off. Please use the table provided.

1. Bisection Method

Find the function of the root f(x) = x³ + 2x² - 12x - 16. Use X_L = 3 and X_u = 2.1

i	XL	Xm	Xu
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1. Regula-Falsi (False-Position) Method.

Find the root of the function f(x) = 3 sin(x + ) 1.Use X_L = 1.5 and X_u = 2.1

i	XL	XR	Xu
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1. Fixed-Point Iteration Method.

Find the root of f(x) = x³ + x² 3x 2. Use X₀ = 2.1

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1. IV. Newton-Raphson Method.

Find the root of f(x) = e^X sin(x²). Use X₀ = 1.05

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