(b) (a) Solve, by Crouts method, the following system of linear equation: 4x + y +...

 

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(b) (a) Solve, by Crouts method, the following system of linear equation: 4x + y + z = 4; x+4y= 2z = 4; 3x + 2y = 4z = 6. Solve, by Gauss Seidel method, the following system of linear equation: -2x + y + 5z = 15; 4x - 8y + z = -21; 4x - y - 2z = -2. When a train is moving at 30 m/sec., steam is shut off and brakes are applied. The speed of the train per second after t second is given by 25 30 Time (t) 0 5 10 15 20 35 40 Speed (v) m/sec 30 24 19.5 16 13.6 11.7 10.0 8.5 7.0 Estimate the distance moved by the train in 40 seconds by using Simpson's rule. (c) (b) (a) Solve, by Crouts method, the following system of linear equation: 4x + y + z = 4; x+4y= 2z = 4; 3x + 2y = 4z = 6. Solve, by Gauss Seidel method, the following system of linear equation: -2x + y + 5z = 15; 4x - 8y + z = -21; 4x - y - 2z = -2. When a train is moving at 30 m/sec., steam is shut off and brakes are applied. The speed of the train per second after t second is given by 25 30 Time (t) 0 5 10 15 20 35 40 Speed (v) m/sec 30 24 19.5 16 13.6 11.7 10.0 8.5 7.0 Estimate the distance moved by the train in 40 seconds by using Simpson's rule. (c)

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