ACTIVITY BASED(SNM)

Solve the equation 5𝑦 − 2𝑧 = 1, 4𝑦 + 28𝑧 = 23 using the Gauss elimination method.

• y=1/2 & z=3/4

• y=1/3 & z=3/5

• z=1/2 & y=3/4

• z=1/3 & y=3/5

Write the first iteration values of x, y, z when the equations 27x + 6y − z = 85, 6x + 15y +2z = 72, x + y + 5z = 110 are solved by Gauss Seidel method.

• x=3.158, y=

  3.461, z=20.562

• x=3.168, y=

  3.471, z=20.762

• x=3.178, y=

  3.481, z=20.862

• x=3.148, y=

  3.451, z=20.662

• x=1,y=2

• x=1,y=1

• x=2,y=1

• none of the above

Use Lagrange’s formula to find the quadratic polynomial that takes these values

x takes 0, 1 , 3

and corresponding y is 0 , 1, 0 , Then y(2) is

• 5

• 3

• 1

• 2

Obtain the interpolation quadratic polynomial for the given data by using Newton forward difference

formula X : 0 ,2, 4, 6

Y : -3, 5, 21, 45

Compute y at x = 0.25 by Modified Euler method given y’ = 2xy, y(0) =1

• 1.0325

• 1.0425

• 1.0625

• 1.0525

• 1.6056

• 1.3056

• 1.4056

• 1.5056