Question
Asked Nov 4, 2019
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ln(x2+2)=3x/Sqrt x2+1

Write the formula for Newton's method for the given function.

Use the formula to find all solutions to the given equation

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Expert Answer

Step 1

To find (approximate) roots using Newton's method

Step 2

Newton's method gives better approximations to the exact root, for suitable initial choices x0,

Зх
Set f(x)- In(x +2)-
(I)
Newton's formula
1)Start with an approximate root x
f (x,)
= x,
2)generate the sequence x
(2)
f'(x,)
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Зх Set f(x)- In(x +2)- (I) Newton's formula 1)Start with an approximate root x f (x,) = x, 2)generate the sequence x (2) f'(x,)

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Step 3

Netwon's formula for ...

Зх
(1)
Set f(x) In(x2 2)
f(x.
(3)
3х,
n+1
2+1+
(ax,1)
(x2 1
3fx1
2
2х,
2+2
х
help_outline

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Зх (1) Set f(x) In(x2 2) f(x. (3) 3х, n+1 2+1+ (ax,1) (x2 1 3fx1 2 2х, 2+2 х

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