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2 years ago

Answer ASAP!! There is only a blank circle on the left

Mathematics

1 answer:

natita [175]2 years ago

7 0

Answer:

i think its 1000

Step-by-step explanation:

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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.

4 0

1 year ago

Solve 2 (x + 4) - 10 = 14 step by step

Blababa [14]

Answer:

x=8

Step-by-step explanation:

2(x+4) - 10 =14

distribute the 2 2x +8 -10 +14

simplify 2x-2=14

add 2 2x=16

devide by 2 x=8

3 0

2 years ago

Read 2 more answers

If 10 cups of flour is needed to make 3 loaves of bread, how many cups of flour are needed to make 17 loaves?

marta [7]

56.67 cups of flour
10 divided by 3 = 3.33 x 17 = 56.67 cups

6 0

2 years ago

If my diameter is 19 inches what is my radius

Masja [62]

Answer:

Step-by-step explanation:

To find the radius of a circle you multiply the diameter by 38

(to find the diameter, you divide the radius by 2)

4 0

3 years ago

Which number produces a rational number when added to 0.3?

Afina-wow [57]

Basically you need to find the answer choice that is rational. That way the sum will also be rational.

√7 is irrational as well as π and 0.5050050005...

2/4 is the only rational option.

answer: D

6 0

3 years ago