dy/dx - = 1 - y,y(0) = 0 is an example of

[zaasmi]

Question # 9 of 10 ( Start time: 09:01:07 PM ) Total Marks: 1

Simpson’s 1/3 rule is based on fitting three points with a ………………

Select correct option:
Cubic
Quadratic

[zaasmi]

@zaasmi said in mth603 final term solved papers by moaaz:

Simpson’s 1/3 rule is based on fitting three points with a ………………

Simpson’s Rule: This method is based on approximating the function f(x) by fitting quadratic through sets of three points. Simpson’s 1/3 rule is given as: ∫ x 0 x n ⁡

[zaasmi]

Question # 10 of 10 ( Start time: 09:01:25 PM ) Total Marks: 1

Geometrically, in Simpson’s 1/3 Rule, we find the area of -------- strip/strips at time under a curve of given function.

Select correct option:
three
five
one
two

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Question # 1 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

Zero-th order divided difference is defined as

Select correct option:
y[x0]=x0
y[x0]=y1
y[x0]=y0
None of the given choices

[zaasmi]

Question # 2 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

The double definite integral of a function is called…………
Select correct option:
Length of the curve
Area under the curve
Volume under the curve
None of the given choices

[zaasmi]

Question # 3 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

In Simpson’s 3/8 rule, the global error is of ………………

Select correct option:
O(h2)
O(h3)
O(h4)
None of the given choices

[zaasmi]

Question # 4 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

If the given tabular function f(x) is approximated by the polynomial ‘P1(x) = x+1’ then which of the following polynomial will approximate the derivative of f(x) ?

Select correct option:
x
x-1
2x
1

[zaasmi]

Question # 5 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

In Composite Trapezoidal formula for integrating a Tabular function, we can approximate it with a polynomial whose ---------- order derivative vanishes.

Select correct option:
Third
First
Second
Fourth

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Question # 6 of 10 ( Start time: 09:16:16 PM ) Total Marks: 1

The percentage error in numerical integration is defined as

Select correct option:
= (Theoretical Value-Experiment Value)x Experiment Value x100
= (Theoretical Value +Experiment Value)/ Experiment Value x100
= (Theoretical Value-Experiment Value)/ Theoretical Value x100
= (Theoretical Value-Experiment Value)/ Experiment Value x100

[zaasmi]

Question # 7 of 10 ( Start time: 09:16:40 PM ) Total Marks: 1

In Romberg’s method, accuracy of Simpson and Trapezoidal rules is improved by ---------.
Select correct option:
interpolation
extrapolation

[zaasmi]

Question # 8 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

We prefer ……… over the Lagrange’s interpolating method for economy of computation.

Select correct option:
Newton’s forward difference method
Newton’s backward difference method
Newton’s divided difference method
None of the given choices

[zaasmi]

Question # 9 of 10 ( Start time: 09:17:41 PM ) Total Marks: 1

Richardson extrapolation is method also known as …………

Select correct option:
Sequence acceleration method
Series acceleration method

[zaasmi]

Question # 10 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

At which of the following points the Maximum value of 2nd derivative of function f(x) = -(2/x) in the interval:[1,4] exits?

Select correct option:
At x=1
At x=2
At x=3
At x=4

[zaasmi]

Question # 1 of 10 ( Start time: 09:28:45 PM ) Total Marks: 1

We prefer ………over the Lagrange’s interpolating method for economy of computation.

Select correct option:
Newton’s forward difference method
Newton’s backward difference method
Newton’s divided difference method
None of the given choices

[zaasmi]

1st ordered divided difference formula is defined as

Select correct option:
y[x0,x1]y1+y0)/(x1-x0)
y[x0,x1]y1-y0)/(x1+x0)
y[x0,x1]y1-y0)/(x1-x0)
None of the given choices

[zaasmi]

Geometrically the definite integral of any continuous function f(x) in the interval [a,b] gives ----------.

Select correct option:
Length of segment AB on real line
Volume with dimensions f(x), ‘a’ and ‘b’
Area under f(x) on [a,b]
Area of Trapezoid with dimension of ‘a’ and ‘b’