Deemed University 2009 A.M.I.E.T.E Electronics

AMIETE – ET/CS/IT (NEW SCHEME) – Code: AE51/AC51/AT51

Subject: ENGINEERING MATHEMATICS - I


Time: three Hours Max. Marks: 100

NOTE: There are nine ques. in all.
· ques. one is compulsory and carries 20 marks. ans to Q. 1. must be written in the space given for it in the ans book supplied and nowhere else.
· Out of the remaining 8 ques. ans any 5 ques.. every ques. carries 16 marks.
· Any needed data not explicitly given, may be suitably presumed and said.

Q.1 select the accurate or the best option in the following: (210)

a. If z = f(x+ct)+g(x-ct), then

(A) (B)
(C) (D)

b. 1 of the stationary values of the function f(x,y) = x4+y4-2x2+4xy-2y2 is

(A) (B) (2,-2)
(C) (D) (-2,2)

c. Value of the integral is

(A) one (B) 0
(C) (D) None

d. Rank of the matrix A = is

(A) 0 (B) 1
(C) three (D) 2

e. Eigen values of the matrix A = are

(A) 2, 3, five (B) –2, 0, 5
(C) 2, 2, five (D) 2, 5, -3


f. Root of the formula xex = cos x in (0,1) using Regula-Falsi method after 2 iteration is

(A) 0.5362 (B) 0.4467
(C) 0.1932 (D) None

g. Solution of is

(A) y=c1ex+c2e2x (B) y=c1+(c2+c3x)e-x
(C) y=(c1+c2x+c3x2)e-x (D) y=c1+c2e-x

h. General solution of linear differential formula of 1st order (where P and Q are constants or functions of y) is

Earning:   Approval pending.