07-22-2014, 02:45 PM
[SIZE="5"]MTH603 Numerical Analysis Online Quiz No. 03 Solution Ideas Spring 2014
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[B]
In Newton-Cotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral?
Select correct option:
Trigonometric Function
Exponential Function
Logarithmic Function
Polynomial Function 166
If the area under ‘f(x) = x’ in interval [0,2] is subdivided into two equal sub-intervals of width ‘1’ with left end points, then which of the following will be the Truncation Error provided that I(definite integral) = 2 and approximate sum = 3 ?
Select correct option:
0
1
-1
3
Trapezoidal and Simpson’s integrations are just a linear combination of values of the given function at different values of the …………variable.
Dependent
Independent 179
Arbitrary
None of the given choices
The percentage error in numerical integration is defined as
= (Theoretical Value-Experiment Value)* Experiment Value*100
= (Theoretical Value +Experiment Value)/ Experiment Value*100
= (Theoretical Value-Experiment Value)/ Theoretical Value *100
Theoretical Value-Experiment Value)/ Experiment Value*100
Simpson’s 3/8 rule is based on fitting ……………… points by a cubic.
Two
Three
Four 169
None
We can improve the accuracy of trapezoidal and Simpson’s rules using ……
Simpson’s 1/3 rule
Simpson’s 3/8 rule
Richardson’s extrapolation method 178
None of the given choices
In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.
actual function
extrapolating polynomial
Lagrange’s polynomial
Newton’s Divided Difference Interpolating polynomial
In Simpson’s 1/3 rule, the global error is of ………………
O(h2)
O(h3)
O(h4) 171
None of the given choices
The percentage error in numerical integration is defined as
= (Theoretical Value-Experiment Value)* Experiment Value*100
= (Theoretical Value +Experiment Value)/ Experiment Value*100
= (Theoretical Value-Experiment Value)/ Theoretical Value *100
Theoretical Value-Experiment Value)/ Experiment Value*100
In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.
actual function
extrapolating polynomial
Lagrange’s polynomial
Newton’s Divided Difference Interpolating polynomial[/B]
[/SIZE]
[B]
In Newton-Cotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral?
Select correct option:
Trigonometric Function
Exponential Function
Logarithmic Function
Polynomial Function 166
If the area under ‘f(x) = x’ in interval [0,2] is subdivided into two equal sub-intervals of width ‘1’ with left end points, then which of the following will be the Truncation Error provided that I(definite integral) = 2 and approximate sum = 3 ?
Select correct option:
0
1
-1
3
Trapezoidal and Simpson’s integrations are just a linear combination of values of the given function at different values of the …………variable.
Dependent
Independent 179
Arbitrary
None of the given choices
The percentage error in numerical integration is defined as
= (Theoretical Value-Experiment Value)* Experiment Value*100
= (Theoretical Value +Experiment Value)/ Experiment Value*100
= (Theoretical Value-Experiment Value)/ Theoretical Value *100
Theoretical Value-Experiment Value)/ Experiment Value*100
Simpson’s 3/8 rule is based on fitting ……………… points by a cubic.
Two
Three
Four 169
None
We can improve the accuracy of trapezoidal and Simpson’s rules using ……
Simpson’s 1/3 rule
Simpson’s 3/8 rule
Richardson’s extrapolation method 178
None of the given choices
In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.
actual function
extrapolating polynomial
Lagrange’s polynomial
Newton’s Divided Difference Interpolating polynomial
In Simpson’s 1/3 rule, the global error is of ………………
O(h2)
O(h3)
O(h4) 171
None of the given choices
The percentage error in numerical integration is defined as
= (Theoretical Value-Experiment Value)* Experiment Value*100
= (Theoretical Value +Experiment Value)/ Experiment Value*100
= (Theoretical Value-Experiment Value)/ Theoretical Value *100
Theoretical Value-Experiment Value)/ Experiment Value*100
In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.
actual function
extrapolating polynomial
Lagrange’s polynomial
Newton’s Divided Difference Interpolating polynomial[/B]