• Cyberian's Gold

    @zainab-ayub said in MTH603 Quiz 2 Solution and Discussion:

    Mth603 ka koi student hai tu plz yeh question bta dy kis trha solve ho ga Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is

    0c7ad28d-7947-40be-9f9a-3f78480c6d1e-image.png


  • Mth603 ka koi student hai tu plz yeh question bta dy kis trha solve ho ga Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is

  • Cyberian's Gold

    If f(x)=2x3−5x2+9x−6 , then its------derivative is zero for all x.

  • Cyberian's Gold

    Given the following data x:1 2 7 11 y:6 10 13 37 Which formula is useful in finding the interpolating polynomial?

  • Cyberian's Gold

    Given the following data x: 1 3 -7 f(x): 3 -6 -2 Which formula is useful in finding the interpolating polynomial?

  • Cyberian's Gold

    x: 1 3 7 f(x): 1 4 9 f(3) Can be found using

  • Cyberian's Gold

    : What will be the value of first order divided difference f[1,5]for the following data x:0 1 5 y:2 1 5

  • Cyberian's Gold

    Forthegivendatapoints(4,1.3),(8,1.5),and(12,1.9)thedividedifferencetablewillbegivenas

  • Cyberian's Gold

    Newton’s divided difference interpolation formula is used when the values of the independent variable are

    Not equally spaced

    Newton’s divided difference interpolation formula is a interpolation technique used when the interval difference is not same for all sequence of values. Divided differences are symmetric with respect to the arguments i.e independent of the order of arguments.

  • Cyberian's Gold

    Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is

  • Cyberian's Gold

    Given the following data x:4 5 7 10 y:46 102 294 346 Value of 1st order divided difference f[5 , 7] is

    91
    92
    94
    96

  • Cyberian's Gold

    Forthegivendatapoints(x0,y0),(x1y1),(x2y2),and(x3,y3)thezero−orderdividedifferencewillbegivenas

    cf4ff410-1c08-454c-b055-a75a87c6c597-image.png
    5a3820f4-2c5d-4a9a-adb1-445e60017b0e-image.png

  • Cyberian's Gold

    Forthegivendatapoints(4,45),(5,104),and(6,190),thezero−orderdividedifferencewillbe

    3ecd2368-2b48-4e0a-83ae-0e937ffa8f88-image.png

  • Cyberian's Gold

    For the following data

    5c89a396-1322-4a06-9459-bb6a0534787f-image.png

    70887022-15d6-4d8e-a20f-a02195ed59a4-image.png

  • Cyberian's Gold

    Whichofthefollowingmethodcanbeusedforinterpolationforthegivenvaluesofxandy?x y0.30.0670.70.2480.90.518

    Lagrangens interpolation

  • Cyberian's Gold

    If y(x) is approximated by a polynomial Pn(x) of degree n then the error is given by

    ε(x)=y(x)+Pn(x)
    ε(x)=y(x)−Pn(x)
    ε(x)=y(x)×Pn(x)
    ε(x)=y(x)÷Pn(x)

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