Download JNTUA (JNTU Anantapur) B.Tech R13 (Bachelor of Technology) 1st Year 1st Semester (1-1) 2014 Dec Supply 13A54102 Mathematics II Previous Question Paper || Download B-Tech 1st Year 1st Sem 13A54102 Mathematics II Question Paper || JNTU Anantapur B.Tech 1-1 Previous Question Paper || JNTU Anantapur B.Tech ME 1-1 Previous Question Paper || JNTU Anantapur B.Tech CSE 1-1 Previous Question Paper || JNTU Anantapur B.Tech Mech 1-1 Previous Question Paper || JNTU Anantapur B.Tech EEE 1-1 Previous Question Paper || JNTU Anantapur B.Tech ECE 1-1 Previous Question Paper

Code: 13A54102

B.Tech I Year (R13) Supplementary Examinations December/January 2014/2015

MATHEMATICS ? II

(Common to EEE, ECE, EIE, CSE and IT)

Time: 3 hours Max. Marks: 70

PART ? A

(Compulsory Question)

*****

1 Answer the following: (10 X 02 = 20 Marks)

(a) Find the sine series of .

(b) If then find

(c) Obtain the complete solution for

(d) Find .

(e) Find P. ? of (D2-2DD?) z = x

3

y.

(f) State one dimensional heat equation.

(g) Find the Eigen values for the matrix

(h) Write condition for the system AX = B is consistent.

(i) Find the rank of .

(j)

Using Euler?s method find the solution of the initial problem by assuming

h = 0.2.

PART ? B

(Answer all five units, 5 X 10 = 50 Marks)

UNIT - I

2 Reduce the quadratic form to the canonical form. Also specify the matrix

of transformation.

OR

3 State and prove Cayley-Hamilton theorem.

UNIT - II

4 Find the root of by Newton Raphson method corrected to three decimal places.

OR

5

Evaluate taking 4 intervals. Using (i) Trapezodial rule. (ii) Simpson?s 1/3 rd rule.

UNIT - III

6

Use fourth order Runge-Kutta method to compare y for x = 0.1, given

OR

7

Find the Half range Fourier sine series and hence deduce that:

UNIT - IV

8

Find the Fourier cosine transform of

OR

9

Solve Z-transform

UNIT - V

10

Solve the equation with boundary conditions where

OR

11 A tightly stretched string with fixed end points is initially in a position given by

if it is selected from rest from this position, find the displacement

*****

R13

FirstRanker.com - FirstRanker's Choice

This post was last modified on 11 September 2020