Unit Test Paper of Numerical Method of unit one and two

Unit Test Paper of Numerical Method of unit one and two: -

Hey guys we have done the unit tests of the Computer Architecture and Computer Graphics today  we are going to take our test of Numerical Method of B.Sc.CSIT third sem subject and the following is the Question Paper of the subject of B.Sc.CSIT third sem's Numerical Method is as :-

Unit Test Paper of Numerical Method of unit one and two

                              

  Unit 1 test paper of numerical method:-
   

 1.     Find the root by using Newton Raphson method of 2x³-3x-6=0.

2.    Find the root by using Bisection Method COSX +2sinx +x² with error precision 0.01.

3. Define error and list the types of error in numerical calculations. Derive the formula for secant method and illustrate the method by figure.

Unit 2 test paper of numerical method:-
1.      Derive the equation for Lagrange's interpolating polynomial and find the value of f(x) at X=1 for following.

X	-1	-2	2	4
F(x)	-1	-9	11	69

2.      Estimate F(3) from the following data using Cubic-Spline Interpolation

X	1	2.5	4	5.7
F(X)	-2.0	4.2	14.4	31.2

3.      Fit a straight line that best fits the following set of data by using linear regression.

X	1	2	3	4	5
F(x)	3	5	7	10	12

4.      Fit the curve y=ae^bx through the data below.

X	-4	-2	0	1	2	4
Y=F(x)	0/57	1.32	4.12	6.65	11	30.3

Hey here is the PDF  file of the above document

X

-1

-2

2

4

F(x)

-1

-9

11

69

X

1

2.5

4

5.7

F(X)

-2.0

4.2

14.4

31.2

X

1

2

3

4

5

F(x)

3

5

7

10

12

X

-4

-2

0

1

2

4

Y=F(x)

0/57

1.32

4.12

6.65

11

30.3