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S_A_V [24]
3 years ago
13

Math question!! Help please!

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0
The answer would be 2/11 hope this helps
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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}.

Step-by-step explanation:

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})}

Where:

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)

x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}

x_{2} = 2 + \frac{4}{4}

x_{2} = 3

Second iteration: (x_{2} = 3)

x_{3} = 3-\frac{3^{2}-8}{2\cdot (3)}

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

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

7 0
4 years ago
Help soon its for my grade Draw 2u –1/3v
laiz [17]
Do you have a picture where I can understand it much better?
4 0
3 years ago
A loaf of bread has a volume of 2270 cm3 and a mass of 454 g. What is the density of the bread?
svlad2 [7]

Density = Mass / Volume

Density = 454 / 2270

Density = 0.2 g/cm^3

6 0
3 years ago
Read 2 more answers
Can someone help me with this problem?
Gennadij [26K]

the answer is -3

hope it helps!


5 0
3 years ago
If 2 fair dice are tossed what is the probability that the sum of the number of dots on the top faces will be 7
Salsk061 [2.6K]

Answer:

⅙

Step-by-step explanation:

it could be 6 and 1, 5 and 2, 4 and 3, 3 and 4, 2 and 5 or 1 and 6.

It is 2 fair dice, so all together, the probability is 36.

6/36 can be simplified to ⅙

3 0
2 years ago
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