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Quiz NO.02  Dated:Aug 09, 18 
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Quiz NO.02 is opened from 10082018 to 14082018. Lectures 29 to 33 are included. Please visit VULMS. Thanks
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Dr. Imran Talib

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Mth603 Quiz no 02:
1. In Simpson’s rule, we can estimate the integral by …………the areas under the parabolic arcs through three successive points.
Adding.
Multiplying
none of these
subtracting
2. 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] ?
(y2+y4)/2
(y2+y4)
(y2y4)/2
(y2y4)
3. Geometrically, in Simpson’s 1/3 Rule, we find the area of  strip/strips at time under a curve of given function.
three
five (Correct Answer)
one
two
4. In Simpson’s 1/3 rule, the global error is of..............
O(h2)
O(h3)
O(h4) 171
None of the given choices
5. We prefer ………over the Lagrange’s interpolating method for economy of computation.
Newton’s forward difference method
Newton’s backward difference method
Newton’s divided difference method
none.
6. Richardson extrapolation is method also known as..........
Select correct option:
Sequence acceleration method
Series acceleration method (Correct Answer)
7. At which of the following points the Maximum value of 2nd derivative of function f(x) = (2/x) in the interval:[1,4] exits?
At x=1
8. Which of the following reason(s) lead towards the numerical integration methods?
Analytical evaluation of integral is very complicated
Analytical evaluation of integral is impossible
Integrand is given in tabular form
All (not confirm)
9. Simpson’s 3/8 rule represents the area between the curve y = f(x) in the interval say [a,b] above xaxis by approximating the given curve by the .
Select correct option:
Cubic curve through one point
Cubic curve through two points
Cubic curve through three points (Correct Answer)
Cubic curve through four points
10. 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
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