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2 D 10681

Section B (Paragraph/Problem Type)

Answer at least five questions.

Each question carries 5 marks.

All questions can be attended.
Overall Ceiling 25.

Write a Python program to print the squares of the integer numbers within the range entered by
the user.

Discuss about different built-in operations on dist in Python with the help of examples.

Write a program to create two 3 x 3 matrices and add them.

The table below gives the temperature T (in °C) and length/ (in mm) of aheated rod. If / = ay + aT,

find the best value for ay and q, :

T Gn °C) : 20 30 40 50 60 70
1 Gn mm) | 800.3 800.4 800.6 800.7 800.9 801.0

Using Newtons forward interpolation formula obtain + (2), given that, y (1) = 24, y (3) = 120,
y (5) = 336, and y (7) = 720.

Explain the Bisection method for finding the solutions of algebraic equations.
Write a Python program to simulate the motion of a body dropped into a highly viscous medium.
(5 x 5 = 25 marks)
Section C (Essay Type)

Answer any one question.
The question carries 11 marks.

(a) Find y (0.2) for y' = (x —y)/2, y (0) = 1, with step length 0.1 using Runge-Kutta method.

(b) Write a Python program to simulate a two-dimensional projectile motion using Euler’s method
in a table.

(a) Explain the Newton-Raphson method to find the roots of a function.

(b) Write a Python program to simulate a freely falling body using Euler’s method in a table.
(1 x 11 = 11 marks)

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