Write a program in C/C++ to find the value of Sin(π/6) by using Lagrange’s Interpolation, the related  data is given below 
x: 0 π /4 π/2
y = Sin(x): 0 0.70711 1.0

Write a C/C++ program that approximates the solution of the initial value problem: y’ = f(t, y) with y(a) = y0 over [a, b] using Euler’s method. Using the program approximate the solution of the initial value problem: y’ = -2ty2 with y(0) =1

What is the Mandal Commission Report? 

Write a C/C++ program that approximates the value of a definite integral ∫ See Answer →

Write a C/C++ program that approximates a root of the equation f(x) = 0 in an interval [a, b] using Newton-Raphson method. The necessary assumptions for application of this method should be explicitly mentioned. Use the method to find one root of the equation: x3 + 4x2 - 19=0.

Explain the Residuary power of legislation. 

Write a program in C/C++ to find the root of the following equation by using “Bisection Method”. Equation: See Answer →

Explain the Three-language Formula.

Use the program for solving the following system of linear equations:
2x + y + z = 7
3x + 2y + 3z = 16
4x + 5y + 3z = 23

Write a brief note on the Anandpur Sahib Resolution. 

Write a C/C++ program that implements (Do not use pivot condensation) Gaussian elimination
method for solving n linear equations in n variables, that calls procedures (5)
(i) Exchange of rows
(ii) lower-triangularisation and
(iii) back substitutions
 (Codes of procedures are also to be written)

Write a brief note on the decline of the "Congress System.

Examine the autonomy demands from regional political parties in India. 

Analyse how state-level leadership evolved during the late 1960s and early 1980s.

Create an external CSS file that ensures that format of all the three pages is as per the layout of Figure 1. The background colour of Link Division should be light blue.

Elaborate upon constitutional provisions for urban local governments in India.

The Feedback Form should display a form. The Content Division of this page should be as under (please do not write any code for processing or verification of the form):

The Presenter List should be generated using a database named "Presenter" having the fields Presenter_name and Expertise. You should write JSP program which connects to the database and creates the list in the Content Division of Presenter List Page. The list in the Content Division should be as under :

The Content Division of Home Page should display workshop name, list of authors and address of the venue.

Discuss the federal division of powers between the Centre and States in India.