MTH603 Quiz.3 File 6

Question # 1 of 10 ( Start time: 09:57:36 PM ) Total Marks: 1
In Simpson’s rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into an ………… number n of subintervals of equal length.
Select correct option:
Odd
Even  (Correct Answer)
Prime
None of the given choices


Question # 2 of 10 ( Start time: 09:58:13 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 # 3 of 10 ( Start time: 09:59:13 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  (Correct Answer)
3


Question # 4 of 10 ( Start time: 10:00:22 PM ) Total Marks: 1
Two-point formula for the first derivative is defined as
Select correct option:
y(xi+h)-y(xi-h)/2h  (Correct Answer)
y(xi+h)+y(xi-h)/2h
y(xi+h)-y(xi-h)/h^2
y(xi+h)+y(xi-h)/h^2


Question # 5 of 10 ( Start time: 10:01:02 PM ) Total Marks: 1
In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.
Select correct option:
actual function
extrapolating polynomial
Lagrange’s polynomial
Newton’s Divided Difference Interpolating polynomial  (Correct Answer)


Question # 6 of 10 ( Start time: 10:02:20 PM ) Total Marks: 1
Simpson’s 3/8 rule is based on fitting ……………… points by a cubic.
Select correct option:
Two
Three
Four  (Correct Answer)
None of the given choices


Question # 7 of 10 ( Start time: 10:02:52 PM ) Total Marks: 1
Richardson extrapolation method is used to improve the rate of convergence of a …………
Select correct option:
Series  (Correct Answer)
Sequence


Question # 8 of 10 ( Start time: 10:03:18 PM ) Total Marks: 1
We can improve the accuracy of trapezoidal and Simpson’s rules using ……
Select correct option:
Simpson’s 1/3 rule
Simpson’s 3/8 rule
Richardson’s extrapolation method  (Correct Answer)
None of the given choices


Question # 9 of 10 ( Start time: 10:03:41 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 # 10 of 10 ( Start time: 10:05:01 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