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cluponka [151]
3 years ago
5

Multiply. write answers in the simplest form: 3 1/4 x 4 2/3

Mathematics
1 answer:
Lorico [155]3 years ago
3 0

13.196969697

yup mhm oh yeah (its not in simplest form sorry)

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Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal
pickupchik [31]

Answer:

The first and second iteration of Newton's Method are 3 and \frac{11}{6}.

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The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form f(x) = 0 based on the following formula:

x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}

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x_{i} - i-th Approximation, dimensionless.

x_{i+1} - (i+1)-th Approximation, dimensionless.

f(x_{i}) - Function evaluated at i-th Approximation, dimensionless.

f'(x_{i}) - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be f(x) = x^{2}-8 and f'(x) = 2\cdot x, the resultant expression is:

x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}

First iteration: (x_{1} = 2)

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Second iteration: (x_{2} = 3)

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x_{3} = 2 - \frac{1}{6}

x_{3} = \frac{11}{6}

7 0
3 years ago
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