MTH603 Quiz.3 File 3

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  (Correct Answer)
None of the given choices


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  (Correct Answer)
None of the given choices


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)  (Correct Answer)
None of the given choices


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  (Correct Answer)


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  (Correct Answer)
Fourth


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)* Experiment Value*100  (Correct Answer)
= (Theoretical Value +Experiment Value)/ Experiment Value*100
= (Theoretical Value-Experiment Value)/ Theoretical Value *100
= (Theoretical Value-Experiment Value)/ Experiment Value*100


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  (Correct Answer)

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  (Correct Answer)
None of the given choices


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  (Correct Answer)


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  (Correct Answer)
At x=2
At x=3
At x=4