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Flura [38]
2 years ago
15

Math Problem will give brainliest! If you say something random i will get you banned.

Mathematics
2 answers:
Len [333]2 years ago
8 0

Answer: I can’t figure this one out because I’m only in 8th grade.

Step-by-step explanation:

irga5000 [103]2 years ago
5 0

Answer:wh0re

Step-by-step explanation:

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In the derivation of Newton’s method, to determine the formula for xi+1, the function f(x) is approximated using a first-order T
dimaraw [331]

Answer:

Part A.

Let f(x) = 0;

suppose x= a+h

such that f(x) =f(a+h) = 0

By second order Taylor approximation, we get

f(a) + hf'±(a) + \frac{h^{2} }{2!}f''(a) = 0

h = \frac{-f'(a) }{f''(a)} ± \frac{\sqrt[]{(f'(a))^{2}-2f(a)f''(a) } }{f''(a)}

So, we get the succeeding equation for Newton's method as

x_{i+1} = x_{i} + \frac{1}{f''x_{i}}  [-f'(x_{i}) ± \sqrt{f(x_{i})^{2}-2fx_{i}f''x_{i} } ]

Part B.

It is evident that Newton's method fails in two cases, as:

1.  if f''(x) = 0

2. if f'(x)² is less than 2f(x)f''(x)    

Part C.

In case  x_{i+1} is close to x_{i}, the choice that shouldbe made instead of ± in part A is:

f'(x) = \sqrt{f'(x)^{2} - 2f(x)f''(x)}  ⇔ x_{i+1} = x_{i}

Part D.

As given x_{i+1} = x_{i} = h

or                 h = x_{i+1} - x_{i}

We get,

f(a) + hf'(a) +(h²/2)f''(a) = 0

or h² = -hf(a)/f'(a)

Also,             (x_{i+1}-x_{i})² = -(x_{i+1}-x_{i})(f(x_{i})/f'(x_{i}))

So,                f(a) + hf'(a) - (f''(a)/2)(hf(a)/f'(a)) = 0

It becomes   h = -f(a)/f'(a) + (h/2)[f''(a)f(a)/(f(a))²]

Also,             x_{i+1} = x_{i} -f(x_{i})/f'(x_{i}) + [(x_{i+1} - x_{i})f''(x_{i})f(x_{i})]/[2(f'(x_{i}))²]

6 0
3 years ago
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on
Afina-wow [57]
Subtract 8.25 from 32.6 (32.6-8.25) = 24.35
8 0
3 years ago
A drawer contains a dozen unmatched brown socks and a dozen unmatched black socks. how many socks must someone take out to ensur
krok68 [10]
 <span>A) 3 - The third sock will match the first or second if they don't match each other. 
B) 14 - It's highly unlikely yet possible to remove all brown socks first, the next two would have to be black.</span>
5 0
3 years ago
Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually
tekilochka [14]

Answer: 60 minutes

Step-by-step explanation: 450 divide by 10 = 45

45+15=60

8 0
2 years ago
Lebron makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how mu
allochka39001 [22]

Answer:

For 4 times the original recipe  Lebron needs 12 cups of cranberry juice with  8 cups of apple juice.

Step-by-step explanation:

For 5 cups of punch Lebron needs 3 cups of cranberry juice with 2 cups of apple juice.

For 4 times the original recipe  Lebron needs 3*4= 12 cups of cranberry juice with 2*4= 8 cups of apple juice.

He will get 20 cups of punch.

We multiply each ingredient of the original recipe by the factor 4 to get the required ingredients of the 4 times product as the original product.

4 0
2 years ago
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