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2 years ago

Please help im struggling so much!

Mathematics

1 answer:

Rus_ich [418]2 years ago

4 0

Hope this helps, if you need any extra help feel free to reply to this comment.

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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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2 years ago

Katherine went to Hibbet sports and spent $125.50 on a pair of shoes and $12.25

Sergio039 [100]

Answer:

1. $137.75

3. $149.15

Step-by-step explanation:

12.25+125.50=137.75

3. 8.25% of 137.75= 11.4

137.75+11.4=149.15

3 0

1 year ago

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A deer can run for 2 hours at the speed of 45 mph how far can It run in that time

Virty [35]

Answer:

90 mph

Step-by-step explanation:

if it can go 45 mph, in 2 hrs, it should go 90

45*2=90

7 0

2 years ago

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A paper hat is folded into the shape of a kite, as shown.

Sedbober [7]

Answer:

the answer is D. 22

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2 years ago

How did the first line get to the second line??? (Check Picture)

ddd [48]

Step-by-step explanation:

$15( \frac{11\pi}{6} ) \\ 15 \div 3 = 5 \\ 6 \div 3 = 2 \\ = 5( \frac{11\pi}{2} )$

$11 \times 5 \\ = \frac{55\pi}{2}$

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2 years ago