3 years ago

Which of these numbers are the largest 4.12 or 4.21

Mathematics

1 answer:

sweet [91]3 years ago

7 0

Answer: largest is 4.21.

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

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3 years ago

What is the equation of the line that passes through the point (−3,2) and has an undefined slope?

kirza4 [7]

The answer is x=-3

Sure hope this helps you

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Full‐me Ph.D. students receive an average of $12,837 per year. If the

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How many times do you need to divide by ten to get from 5947.7 to 5.9477 ?

mixas84 [53]

Answer would be 4 times

so if u count from behind 7 to where the decimal point is it would be 4

brainliewst and thanks plz

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4 years ago

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2.61

Step-by-step explanation:

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3 years ago

Which of these numbers are the largest 4.12 or 4.21​

Which of these numbers are the largest 4.12 or 4.21