dy/dx - = 1 - y,y(0) = 0 is an example of

[zaasmi]

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
1/2

[zaasmi]

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
Cubic
None of the given choices

[zaasmi]

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
both

[zaasmi]

Question # 1 of 10 ( Start time: 08:55:44 PM ) Total Marks: 1

In Composite Trapezoidal formula for integrating a Tabular function, we can approximate it with a polynomial whose ---------- order derivative vanishes.

Select correct option:
Third
First
Second
Fourth

[zaasmi]

Question # 2 of 10 ( Start time: 08:57:07 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

[zaasmi]

Question # 3 of 10 ( Start time: 08:57:44 PM ) Total Marks: 1

Integration is a ………………process.
Select correct option:
Subtracting
Summing
Dividing
None of the given choices

[zaasmi]

@zaasmi said in mth603 final term solved papers by moaaz:

Integration is a ………………process.

Integration can therefore be regarded as a process of adding up, that is as a summation. When- ever we wish to find areas under curves, volumes etc, we can do this by finding the area or volume of a small portion, and then summing over the whole region of interest.

[zaasmi]

Question # 4 of 10 ( Start time: 08:58:07 PM ) Total Marks: 1

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

Select correct option:
Dependent
Independent 187
Arbitrary
None of the given choices

[zaasmi]

@zaasmi said in mth603 final term solved papers by moaaz:

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

Noting that, both the integrations are just a linear combination of values of the given function at different values of the independent variable

[zaasmi]

Question # 5 of 10 ( Start time: 08:58:39 PM ) Total Marks: 1

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

Select correct option:
Two
Three
Four
None of the given choices

[zaasmi]

Question # 6 of 10 ( Start time: 08:59:03 PM ) Total Marks: 1

At which of the following point the derivatives or slopes the functions f(x) = x – 2 and g(x) = x + 2 may differ?

Select correct option:
differ for every value of ‘x’
does not differ for any value of ‘x’
x = 2
x = -2

[zaasmi]

Question # 7 of 10 ( Start time: 08:59:58 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
Prime
None of the given choices

[zaasmi]

Question # 8 of 10 ( Start time: 09:00:29 PM ) Total Marks: 1

The step size “h” in numerical integration over the interval [a,b] is defined as

Select correct option:
h b-a)/n
h b+a)/n
h a-b)/n
h b/a)/n

[zaasmi]

Question # 9 of 10 ( Start time: 09:01:07 PM ) Total Marks: 1

Simpson’s 1/3 rule is based on fitting three points with a ………………

Select correct option:
Cubic
Quadratic

[zaasmi]

@zaasmi said in mth603 final term solved papers by moaaz:

Simpson’s 1/3 rule is based on fitting three points with a ………………

Simpson’s Rule: This method is based on approximating the function f(x) by fitting quadratic through sets of three points. Simpson’s 1/3 rule is given as: ∫ x 0 x n ⁡

[zaasmi]

Question # 10 of 10 ( Start time: 09:01:25 PM ) Total Marks: 1

Geometrically, in Simpson’s 1/3 Rule, we find the area of -------- strip/strips at time under a curve of given function.

Select correct option:
three
five
one
two