Probability Distributions,Transforms And Numerical Methods KTU B.Tech Important S4 Question Papers [ PDTM ] MA202 | Question Bank


Probability Distributions,Transforms And Numerical Methods KTU B.Tech Important S4 Question Papers

Probability Distributions,Transforms And Numerical Methods KTU B.Tech Important S4 Question Papers [ PDTM ] MA202 | Question Bank

Modules V and VI

38) Use Newton-Raphson method to find a root of the equation X^3 - 2X - 5 = 0.


39) Set up a Newton iteration for computing the square root x of a given positive number c and using it find the square root of 2 exact to six decimal places.(Perform 4 iterations)

40) Find the positive solution of  2sinx = x using Newton-Raphson method

41) Use Newton-Raphson method to estimate the root of f(x) = e^-x -x employing an initial guess of X0 = 0

42) Find Lagrange’s interpolation polynomial fitting the points f(1) = -3, f(3)=0, f(4)=30, f(6)=132.Hence find f(5).

43) Using Newton’s Forward Difference formula estimate the value of from the following data

x : 10 20 30 40 50

f(x) : 46 66 81 93 101
44) Using Newton’s backward Difference Interpolation formula, estimate the value of from the following data.

x : 20 25 30 35 40 45

f(x) : 35.4 33.2 29.1 26.0 23.1 20.4

51) The following table gives the amount of a chemical dissolved in water.

Temperature : 15 20 25 30 35 (in degree c)

Solubility : 20.51 21.47 23.52 24.57 25.85

Estimate the solubility at 33*c using Newton’s backward difference interpolation.

52) The population of a certain city are as follows.

Year :1921 1931 1941 1951 1961 1971

Population(in lakhs) : 12 15 20 27 39 52

Estimate the population in the year 1965 using Newton’s backward difference interpolation.
53) Solve the following system of equations by Gauss elimination method with partial pivoting.
Probability Distributions,Transforms And Numerical Methods KTU B.Tech Important S4 Question Papers [ PDTM ] MA202 | Question Bank
54) Solve the following linear system by Gauss elimination with partial pivoting
Probability Distributions,Transforms And Numerical Methods KTU B.Tech Important S4 Question Papers [ PDTM ] MA202 | Question Bank
55) Solve the following system of equations (correct to 3 decimal places) with Gauss- Seidel iteration method.
Probability Distributions,Transforms And Numerical Methods KTU B.Tech Important S4 Question Papers [ PDTM ] MA202 | Question Bank
Probability Distributions,Transforms And Numerical Methods KTU B.Tech Important S4 Question Papers [ PDTM ] MA202 | Question Bank
RELATED

CLICK HERE FOR MORE KTU QUESTIONS

No comments:

Powered by Blogger.