Mth603 Final Term Quiz solution 2024 by taleemi markaz part 1
Mth603 Final Term preparation Quiz solution 2024
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Questions asked:
When we apply Simpson`s 3/8 rule, the number of intervals 𝒏 must be
To apply Simpson's 3/8 rule, the number of intervals in the following must be
Adam Moulton PC method is derived by employing
To apply Simpson’s 1/3 rule, the number of intervals in the following must be
Simpson’s rule is a numerical method that approximates the value of a definite integral by using …………polynomials
We can improve the accuracy of trapezoidal and Simpson’s rules using ……
In fourth order Runge-Kutta method, 𝒌_𝟒 is given by
The truncation error in Adam’s predictor formula is
In fourth order Runge-Kutta method, 𝒌_𝟏 is given by
The global error in Simpson’s 3/8 rule is of
Rate of change of any quantity with respect to another can be modeled by
While deriving Simpson’s 3/8 rule, we approximate f(x) in the form ______
While deriving Trapezoidal rule, we approximate f(x) in the form ____
Let 𝑰 denotes the closed interval spanned by 𝒙_𝟎,𝒙_𝟏,𝒙_𝟐,𝒙_𝟑,𝒙_𝟒,𝒙_𝟓,𝒙_𝟔,𝒙_𝟕,𝒙 ̅. Then 𝑭(𝒙) vanishes _____ times in the interval 𝑰.
The magnitude of truncation error in Milne’s predictor formula is
𝒚_𝒏+𝟏=𝒚_𝒏+𝟏/𝟔 (𝑲_𝟏+𝟐𝑲_𝟐+𝟐𝒌_𝟑+𝒌_𝟒 ) is known as:
Lagrange’s interpolation formula is used when the values of the independent variable are
If there are (𝒏+𝟏) values of 𝒚 corresponding to (𝒏+𝟏) values of 𝒙, then we represent the function f(x) by a polynomial of degree
Shift operator is defined as
From the following table of values: Estimate of y’(3) will be done using the formula of differential operator in terms of