7/29/2019 conm

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Q1) a)Using Gauss Seidal method, solve the following set of simultaneous equations up to 03 decimalplaces.x + 2y +z= 0 3x +yz= 0 xy + 4z= 3 [8]

b)Draw a Flowchart for Thomas algorithm. [8]

c)Using Gauss Elimination Method, solve the following set of simultaneous equations.2x + 4y6z=4 x + 5y + 3z= 10 x + 3y + 2z= 5 [8]

OR

Q 2) a)Solve the following equations using Gauss-elimination method.3x + 6y + z = 16 2x + 4y + 3z = 13 x + 3y + 2z = 9 [8]

b)Draw a Flowchart for Gauss Seidal method with relaxation (RF). [8]c)Using Gauss Seidel iteration method solve following simultaneous equations (five iterations only).4x1 + 2x3 = 4 5x2 + 2x3 = 3 5x1 + 4x2 + 10x3 = 2 [8]

Q 3) a)The variation of refractive index (n) of a polished brass specimen can be modeled as

, where is the length of the incident light ray wave. Calculate the values of a, b and c

from the following table :

(nm) 300 350 400 450 500R (unit less) for brass specimen surface 0.913 0.929 0.922 0.918 0.909 [8]

b)Write a flowchart for curve fitting (straight line) using least square tech. [8]

ORQ 4) a)In some determinations of the value v of carbon dioxide dissolved in a given volume of water atdifferent temperatures x ,the following pairs of values were obtained.

x 0 5 10 15y 1.80 1.45 1.18 1.00 Obtain by the method of least square, a relation of the form

y=a+bx which best fits to these observations [8]

b)Write a flowchart for curve fitting (polynomial regression) using least square tech. [8]

Q1) a)Using Gauss Seidal method, solve the following set of simultaneous equations up to 03 decimalplaces.x + 2y +z= 0 3x +yz= 0 xy + 4z= 3 [8]

b)Draw a Flowchart for Thomas algorithm. [8]

c)Using Gauss Elimination Method, solve the following set of simultaneous equations.

2x + 4y6z=4 x + 5y + 3z= 10 x + 3y + 2z= 5 [8]

OR

Q 2) a)Solve the following equations using Gauss-elimination method.

3x + 6y + z = 16 2x + 4y + 3z = 13 x + 3y + 2z = 9 [8]b)Draw a Flowchart for Gauss Seidal method with relaxation (RF). [8]

c)Using Gauss Seidel iteration method solve following simultaneous equations (five iterations only).4x1 + 2x3 = 4 5x2 + 2x3 = 3 5x1 + 4x2 + 10x3 = 2 [8]

Q 3) a)The variation of refractive index (n) of a polished brass specimen can be modeled as

, where is the length of the incident light ray wave. Calculate the values of a, b and cfrom the following table :

(nm) 300 350 400 450 500R (unit less) for brass specimen surface 0.913 0.929 0.922 0.918 0.909 [8]

b)Write a flowchart for curve fitting (straight line) using least square tech. [8]

ORQ 4) a)In some determinations of the value v of carbon dioxide dissolved in a given volume of water atdifferent temperatures x ,the following pairs of values were obtained.x 0 5 10 15

y 1.80 1.45 1.18 1.00 Obtain by the method of least square, a relation of the formy=a+bx which best fits to these observations [8]

b)Write a flowchart for curve fitting (polynomial regression) using least square tech. [8]