Q.1 Use Newton’s method to find the value of x for the function

f(x)=2x^2+4x-3=0 ; x>0

Note: Perform only 3 iterations.

Q2 and Q3 in attachment

thanks in advance

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- Dec 29th 2008, 02:19 AMea12345urgent HW help
Q.1 Use Newton’s method to find the value of x for the function

f(x)=2x^2+4x-3=0 ; x>0

Note: Perform only 3 iterations.

Q2 and Q3 in attachment

thanks in advance - Dec 29th 2008, 02:41 AMGrandadVarious problems
Hello

You don't say where the problems lie, so I'll just give you some general hints.

1 $\displaystyle f'(x)=4x+4$

Try, say, $\displaystyle x_1=1$ as a first approximation, and then use

$\displaystyle x_{n+1} = x_n-\frac{f(x_n)}{f'(x_n)}$ to get the second and third approximations.

2 Use the substitution $\displaystyle 1+\sin x = u$. Very straightforward.

3 Image too small to read fully, but it looks as though you need to expand $\displaystyle k(k-2)(k+2)$ to get $\displaystyle k^3-4k$, and then sum these two terms separately.

Grandad - Dec 29th 2008, 08:53 AMea12345
plz step by step solution

- Dec 29th 2008, 12:11 PMmr fantastic
- Apr 18th 2009, 03:52 PMmr fantastic
See here also: http://www.mathhelpforum.com/math-he...ns-method.html

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