MTH603 Quiz.3 File 8

Question # 1 of 10 ( Start time: 09:48:03 PM ) Total Marks: 1
While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule over --------.
Select correct option:
Plane region
Real line  (Correct Answer)


Question # 2 of 10 ( Start time: 09:49:04 PM ) Total Marks: 1
Simpson’s rule is a numerical method that approximates the value of a definite integral by using …………polynomials.
Select correct option:
Linear
Quadratic  (Correct Answer)
Cubic
None of the given choices


Question # 3 of 10 ( Start time: 09:49:30 PM ) Total Marks: 1
In Simpson’s 1/3 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: 09:49:53 PM ) Total Marks: 1
Which of the following is the Richardson’s Extrapolation limit: F2(h/4) provided that F1(h/4) = F1(h/2) = 1 ?
Select correct option:
15
16
-1
1


Question # 5 of 10 ( Start time: 09:50:42 PM ) Total Marks: 1
If f(x) = 2x, then which of the following is will be derivative of f(x) at x = 0.2?
Select correct option:
0.2
0.4
2  (Correct Answer)
-2


Question # 6 of 10 ( Start time: 09:51:31 PM ) Total Marks: 1
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


Question # 7 of 10 ( Start time: 09:52:49 PM ) Total Marks: 1
Trapezoidal and Simpson’s integrations are just a linear combination of values of the given function at different values of the …………variable.
Select correct option:
Dependent
Independent  (Correct Answer)
Arbitrary
None of the given choices


Question # 8 of 10 ( Start time: 09:53:23 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 # 9 of 10 ( Start time: 09:53:55 PM ) Total Marks: 1
In Simpson’s 3/8 rule, we divide the interval of integration into n sub-intervals. Where n is divisible by.....
Select correct option:
2
3
4  (Correct Answer)
None of the given choices


Question # 10 of 10 ( Start time: 09:54:44 PM ) Total Marks: 1
Trapezoidal rule of integration of a definite integral is of…………
Select correct option:
O(h2)  (Correct Answer)
O(h3)
O(h4)
None of the given choices