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

[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

[zaasmi]

Question # 1 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

Zero-th order divided difference is defined as

Select correct option:
y[x0]=x0
y[x0]=y1
y[x0]=y0
None of the given choices

[zaasmi]

Question # 2 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

The double definite integral of a function is called…………
Select correct option:
Length of the curve
Area under the curve
Volume under the curve
None of the given choices

[zaasmi]

Question # 3 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

In Simpson’s 3/8 rule, the global error is of ………………

Select correct option:
O(h2)
O(h3)
O(h4)
None of the given choices

[zaasmi]

Question # 4 of 10 ( Start time: 09:18:38 PM ) Total Marks: 1

If the given tabular function f(x) is approximated by the polynomial ‘P1(x) = x+1’ then which of the following polynomial will approximate the derivative of f(x) ?

Select correct option:
x
x-1
2x
1

[zaasmi]

Question # 5 of 10 ( Start time: 09:18:38 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 # 6 of 10 ( Start time: 09:16:16 PM ) Total Marks: 1

The percentage error in numerical integration is defined as

Select correct option:
= (Theoretical Value-Experiment Value)x Experiment Value x100
= (Theoretical Value +Experiment Value)/ Experiment Value x100
= (Theoretical Value-Experiment Value)/ Theoretical Value x100
= (Theoretical Value-Experiment Value)/ Experiment Value x100

[zaasmi]

Question # 7 of 10 ( Start time: 09:16:40 PM ) Total Marks: 1

In Romberg’s method, accuracy of Simpson and Trapezoidal rules is improved by ---------.
Select correct option:
interpolation
extrapolation

[zaasmi]

Question # 8 of 10 ( Start time: 09:18:38 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
None of the given choices