Newton's Root Finding

The iteration formula for Newton-Raphson method is

Newton-Raphson method will fail for the following reasons, except

The following graphs show the situations where Newton-Raphson method may not work, except

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What line is used to find the next iteration in Newton-Raphson method?

• Secant

• Normal

• Chord

• Tangent

In Newton-Raphson method, if we want to give our answer correct to 3 decimal places then we need to use how many decimal places in the calculation of the iterations?

• 3 decimal places

• 2 decimal places

• 4 decimal places

• any number of decimal places will do

If we want to give answer correct to 3 significant figures in the Newton-Raphson method, what the the stopping criteria?

• when two successive iterations give the same answers correct to 4 significant figures.

• when two successive iterations give the same answers correct to 2 significant figures.

• when two successive iterations give the same answers correct to 3 significant figures.

• when two successive iterations give the same answers correct to 1 significant figures.

• 2.13

• 2.11

• 2.09

• 2.15

Find a root of the equation x² – 8 = 0 correct to three decimal places using Newton Raphson method .

• 2.828

• 1.425

• 1.352

• None of these

The equation f(x) is given as x²-4=0. Considering the initial approximation at x=6 then the value of next approximation correct upto 2 decimal places is given as __________

• 3.33

• 1.33

• 2.33

• 4.33

Using Newton-Raphson method, find the first root of the equation sin x = 1 - x starting with a₀=0

• 0.511

• 0.500

• 0.555

• -0.500