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Dear Students!

Quiz # 3 will be conducted as per following schedule.

No grace period will be granted and quiz will not be rescheduled in any case because you are given 4 days for it.

So try to appear in the very next day.

Sr. No.

Quiz Title

Start Date

End Date

Syllabus

1

3

Aug 07, 2015

Aug 10, 2015

Lectures 29-34

Instructions

Please read the instructions carefully;

1) Quiz will consist of Multiple Choice Questions (MCQs).

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Replies to This Discussion

kisi ny post nai kia??? :'(

give answers

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)

 (y2 – y4)/2

 (y2 – y4)

 

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) ?

x

x-1

2x

 

For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula?

y’(x) = 1+Some Truncation Error

y’(x) = 1.01 + Some Truncation Error

y’(x) = -0.1 + Some Truncation Error

y’(x) = 0.1 + Some Truncation Error

 

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

 

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.

 

If f(x) = 2x, then which of the following is will be derivative of f(x) at x = 0.2?

0.2

0.4

2

-2

 

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

 

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

h=(b-a)/n

h=(b+a)/n

h=(a-b)/n

h=(b/a)/n

 

 

Two-point formula for the first derivative is defined as

y(xi+h)-y(xi-h)/2h

y(xi+h)+y(xi-h)/2h

y(xi+h)+y(xi-h)/2h

y(xi+h)+y(xi-h)/h^2

 

Simpson’s 3/8 rule represents the area between the curve y = f(x) in the interval say [a,b] above x-axis by approximating the given curve by the ----------.

Cubic curve through one point

Cubic curve through two points

Cubic curve through three points

Cubic curve through four points

 

MTH 603 Quiz 3 solved...............

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