MTH603 Quiz.3 File 1

Question # 1 of 10 ( Start time: 09:04:50 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 # 2 of 10 ( Start time: 09:05:21 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 # 3 of 10 ( Start time: 09:05:56 PM ) Total Marks: 1
To take the derivative of f(x) = 2x in the interval [-3,3], which of the following partition of subintervals will be suitable?
Select correct option:
Equally spaced  (Correct Answer)
Unequally spaced
Union of equally spaced and unequally spaced intervals.
Any arbitrary partition will work


Question # 4 of 10 ( Start time: 09:06:26 PM ) Total Marks: 1
Which of the following is the Richardson’s Extrapolation limit: F1(h/2) provided that F(h/2) = F(h) = 1 ?
Select correct option:
0
1  (Correct Answer)
3
4


Question # 5 of 10 ( Start time: 09:07:06 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 # 6 of 10 ( Start time: 09:07:40 PM ) Total Marks: 1
1st ordered divided difference formula is defined as
Select correct option:
y[x0,x1] y1+y0)/(x1-x0)  (Correct Answer)
y[x0,x1] y1-y0)/(x1+x0)
y[x0,x1] y1-y0)/(x1-x0)
None of the given choices


Question # 7 of 10 ( Start time: 09:08:57 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 # 8 of 10 ( Start time: 09:09:32 PM ) Total Marks: 1
Which of the following is the Global Error for Trapezoidal’s Rule while integrating f(x) =x^2 in the interval of [0,2] of equally spaced subinterval of width h =1 and intermediate point x=1?
Select correct option:
1/3
-1/3
-1/2
½  (Correct Answer)


Question # 9 of 10 ( Start time: 09:10:03 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 # 10 of 10 ( Start time: 09:10:33 PM ) Total Marks: 1
While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule with respect to -------- variable/variables at time
Select correct option:
single  (Correct Answer)
both