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Math Help - urgent HW help

  1. #1
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    urgent 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
    Attached Thumbnails Attached Thumbnails urgent HW help-q2.bmp   urgent HW help-q3.bmp  
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  2. #2
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    Various problems

    Hello
    Quote Originally Posted by ea12345 View Post
    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
    You don't say where the problems lie, so I'll just give you some general hints.

    1 f'(x)=4x+4

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

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

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

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

    Grandad
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  3. #3
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    plz step by step solution
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  4. #4
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    Quote Originally Posted by ea12345 View Post
    plz step by step solution
    You've been given help to get started. Having carefuly read and thought about this help (I assume), you now need to be much more specific than the above statement.

    Please explain what you've tried and where you get stuck.
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  5. #5
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    Quote Originally Posted by ea12345 View Post
    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
    See here also: http://www.mathhelpforum.com/math-he...ns-method.html

    Thread closed.
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