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# Quiz No. 3 MTH603 Fall 2013 Due Date Feb 11, 2014 at 23:59.

QUIZ 3 has started on

Feb 10, 2014 at 00:00 and will be closed on

Feb 11, 2014 at 23:59.

The quiz will be from

Lecture No. 29 to Lecture No.34.

*   Quiz is based upon Multiple Choice Questions (MCQs).
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Views: 3035

### Replies to This Discussion

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 166

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

Trapezoidal and Simpson’s integrations are just a linear combination of values of the given function at different values of the …………variable.

Dependent

Independent 179

Arbitrary

None of the given choices

The percentage error in numerical integration is defined as

= (Theoretical Value-Experiment Value)* Experiment Value*100

= (Theoretical Value +Experiment Value)/ Experiment Value*100

= (Theoretical Value-Experiment Value)/ Theoretical Value *100

Theoretical Value-Experiment Value)/ Experiment Value*100

Simpson’s 3/8 rule is based on fitting ……………… points by a cubic.

Two

Three

Four 169

None

 We can improve the accuracy of trapezoidal and Simpson’s rules using …… Simpson’s 1/3 rule Simpson’s 3/8 rule Richardson’s extrapolation method 178 None of the given choices In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.  actual function extrapolating polynomial Lagrange’s polynomial Newton’s Divided Difference Interpolating polynomial In Simpson’s 1/3 rule, the global error is of ………………  O(h2) O(h3) O(h4) 171 None of the given choices

zahra mujhy mth603 k solved subjective paper chahy..plz de den mujhy,or agr ap kpas isk notes han to wo b share kren..thnx

The percentage error in numerical integration is defined as

= (Theoretical Value-Experiment Value)* Experiment Value*100

= (Theoretical Value +Experiment Value)/ Experiment Value*100

= (Theoretical Value-Experiment Value)/ Theoretical Value *100

Theoretical Value-Experiment Value)/ Experiment Value*100

In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.

actual function

extrapolating polynomial

Lagrange’s polynomial

Newton’s Divided Difference Interpolating polynomial

1st at page 162

1st at page 177

1st at page 179

3rd at page 178

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