2 years ago

NEED ASAP HELPPPP !!!!!!!!!!

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

3 0

Answer:

The answer is b

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Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

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

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

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1 year ago

For one full week, Cheng spent $12.50 per day on lunch. Write a multiplication expression using integers to show the overall imp

grin007 [14]

Answer is :a x 12.50= 87.5

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3 years ago

What is the solution set to the following system?

elena-s [515]

The correct answer is C
3+ 0 is 3
3^2 + 0 is 9

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2 years ago

Let the positive numbers a, b, c. Prove that <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2013%7D%2Bb%5E%7B2013%7D%2Bc%5E%

Serggg [28]

Answer:

I don't need to prove it, I already believe you

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2 years ago

Marco went to the cafeteria to buy chicken sandwiches, C, worth $2.00, and hamburgers, h, worth $2.50.

yaroslaw [1]

Answer:

5 Hamburgers = $12.50 4 Chicken sandwiches $8.00( $12.50 + $8.00 = $20.50

Step-by-step explanation:

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2 years ago

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