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24
What are algebraric and transcendental polynomials? Give examples.
25
Explain the method of Bisection, Graphically how you will reach to the exact
foot value in an interval.
26
Solve the followingj problem by Bisection method.
(i)
x3 + x2 + x + 7 = 0
(ii) x3 – 18 = 0
27
Derive Regula – falsi method to find the root also write its graphically
representation.
28
Solve the following by Regula – Falsi method
x3 – x – 4 = 0
29
Derive the Newton–Rapshon method, when does the method fail. Write
graphical interpretation.
30
Solve the following by N-R method
x3+5x+1=0
31 What is rate of convergence of any iterative method? Find the same for N-R
method.
32 What is the difference between Regula false method and Newton Rapshon
method.
33
Obtain the cube root of 12 by N-R method.
34
Derive Bairstow’s method ? How it is difference from other methods.
35
Solve the following by Bairstow’s method.
x3 – x2 – x – 7 = 0
36
Solution of Simultaneous linear algebraic equations
37
Explain Gauss elimination method to solve a system of linear equation.
38
What is pivoting (partial/complete)?
39
Solvle the following system by the Gaussian – Eleminatation method.
2x + y + 4z = 12
8x – 3y + 2z = 23
4x+11y – z = 33
40
Solve the following by Gaussian elimination.
10x+2y+z=9
2x+20y-2z = 44
-2x+3y+10z=22
41
What is the difference between Gaussian elimination method and Jordan
method.What one you prefer.
42
Solve the following problems by Jordan method
27x+6y-z=85
6x+15y+2z=72
x+y+54z=110
45. Solve the following by L.U. Decomposition method
3x+2y+4z=7
2x+y+z=7
x+3y+5z=2
46. Obtain the inverse of
2
-2
2
3
1
1
4
1
1
47
Explain jjacobi method. How it is different from Seidal method.
48
Solve the following by Jacobi and Seidal method
4x+y+3z=11
3x+4y+2z=11
2x+3y+z=7
49. What is the difference between crouts method and Relaxation method?
50. Solve the following equations by Relaxation method.
(i)
12xY+z=31
(ii)
2x+8y-z=24
(iii)
3x+4y+10z=58