MTH603 Quiz.3 File 7

Question # 1 of 10 ( Start time: 09:45:06 PM ) Total Marks: 1
Which of the following is the Global Error for Simpson’s 3/8 Rule while integrating ‘f(x) = Cosx’ in the interval of [0,pi] of equally spaced subinterval of width ‘h =pi/6’ and intermediate point x = pi/2?
Select correct option:
-pi/80  (Correct Answer)
pi/80
0
1


Question # 2 of 10 ( Start time: 09:45:22 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


Question # 3 of 10 ( Start time: 09:45:38 PM ) Total Marks: 1
Three-point formula for the second derivative is defined as
Select correct option:
y(xi+h)+2y(xi)+y(xi-h)/h^2  (Correct Answer)
y(xi+h)-2y(xi)+y(xi-h)/h^2
y(xi+h)-2y(xi)-y(xi-h)/h^2
y(xi+h)-2y(xi)+y(xi-h)/2h


Question # 4 of 10 ( Start time: 09:46:01 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


Question # 5 of 10 ( Start time: 09:46:16 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 # 6 of 10 ( Start time: 09:46:29 PM ) Total Marks: 1
While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ?
Select correct option:
(y2 + y4)/2 (Correct Answer)
(y2 + y4)
(y2 – y4)/2
(y2 – y4)


Question # 7 of 10 ( Start time: 09:46:42 PM ) Total Marks: 1
To improve the accuracy of the derivative of the function, which of the following method is more helpful?
Select correct option:
Extrapolation  (Correct Answer)
Interpolation
Divided Difference
Central Difference


Question # 8 of 10 ( Start time: 09:46:55 PM ) Total Marks: 1
The area of a trapezoid is obtained by adding the area of a …………and a triangle.
Select correct option:
Square
Circle
Rectangle (Correct Answer)
None of the given choices


Question # 9 of 10 ( Start time: 09:47:06 PM ) Total Marks: 1
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  (Correct Answer)


Question # 10 of 10 ( Start time: 09:47:27 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