Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal places.) f(x) = x2 − 8, x1 = 2

The first and second iteration of Newton's Method are 3 and .

Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form based on the following formula:

Where:

- i-th Approximation, dimensionless.

- (i+1)-th Approximation, dimensionless.

- Function evaluated at i-th Approximation, dimensionless.

- First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be and , the resultant expression is:

First iteration: ()

Second iteration: ()

4th option is correct xy=-10

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