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
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
See here also: http://www.mathhelpforum.com/math-he...ns-method.html
Thread closed.