3.8 Newton s Method

Aug 29, 2012

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2. The Situation. Let's find the x-intercept of function graphed using derivatives and tangent lines.. . . | x1. . . | x2. . | x3. . the x-intercepts of the tangent lines are approaching the x-intercept of the function.. 3. The Algorithm. An algorithm can be developed for this process. Simply find t

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3.8 Newton s Method

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1. 1 3.8 � Newton�s Method

2. 2

Newton Raphson Method

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Newton s Laws

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Newton s Laws

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Newton s Laws

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Newton s Laws

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Newton ’ s Third Law

Newton ’ s Third Law. For every action there is an equal and opposite reaction . Equal. Opposite. Equal and opposite. Cannon ball goes right, the cannon goes?. Left. Action and reaction. One side goes down. Other side goes up.

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Section 3.8 – Newton’s Method

Section 3.8 – Newton’s Method. Solving Complicated Equations.

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Section 3.8 Newton’s Method:

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Newton-Raphson Method

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Newton-Raphson Method

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Newton-Raphson Method

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Interval Newton Method

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Newton-Raphson Method

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Newton-Raphson Method

Newton-Raphson Method. Newton-Raphson Method. Figure 1 Geometrical illustration of the Newton-Raphson method. 2. Derivation. Figure 2 Derivation of the Newton-Raphson method. Example. Solve for. Let us assume the initial guess of the root of is. Example. Iteration 1

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Newton-Raphson Method

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Newton-Raphson Method

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Newton-Raphson Method

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