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Kamila [148]
1 year ago
9

Use Newton’s Method to find the solution to the equation

Mathematics
1 answer:
Scorpion4ik [409]1 year ago
6 0

f(x) =  - x {}^{2}  + 18 \\ f'(x) = - 2x

x_{n + 1} = x_{n} -  \frac{f(x_{n})}{f'(x_{n})}

x_{2} = 3  -  \frac{f(3)}{f'(3)}  = 4.5

x _{3}= 4.5 -  \frac{f(4.5)}{f'(4.5)}  = 4.25

x_{4} = 4.25 -  \frac{f(4.25)}{f'(4.25)}  ≈4.242647

x_{5} = 4.242647 -  \frac{f(4.242647)}{f'(4.242647)}  ≈4.242640 \\

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3. Given AB with coordinates A(-4,5) and B(12,13). Find the horizontal distance and the vertical
SCORPION-xisa [38]

The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

<h3>What is the distance between two points?</h3>

The distance between two points is defined as the length of the line segment between two places representing their distance.

Given AB with coordinates A(-4,5) and B(12,13).

The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².

x₁ = -4, y₁ = 5

x₂ = 12, y₂ = 13

distance = √ (12 – (-4))² + (13 – 5)²

distance = √ (12 + 4)² + (8)²

distance = √ (16)² + (8)²

distance = √ (256 + 64)

distance = √320

distance = 17.88 units

The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

Learn more about the distance between two points here:

brainly.com/question/15958176

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6 0
1 year ago
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
5w-5w= combine like terms to simplify
ElenaW [278]

Answer:

0

Step-by-step explanation:

It may say combine, but it`s subtraction soooo it`s 0.

5 0
3 years ago
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3 years ago
in 1930 the average cost for a gallon of gasoline was $0.25. in 2007 the average cost for a gallon of gasoline is $2.60 what is
AlekseyPX
Hello! The first thing to do is to find the amount of change by subtracting both numbers. 2.60 - 0.25 is 2.35. Now, we set up a proportion by doing change/original = x/100. With the values plugged in, it would be written like this: 2.35/0.25 = x/100. Cross multiply the values in the proportion. When you do, you get 235 = 0.25x. Now, divide each side by 0.25 to isolate the "x". When you do that, x = 940. The price of gas has gone up 940% since 1930.
7 0
3 years ago
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