# Deemed University 2009 A.M.I.E.T.E Electronics & Communication Engineering ENGINEERING MATHEMATICS - I – ET/CS/IT (NEW SCHEME) – Code: AE51/AC51/AT51 - Question Paper

Tuesday, 30 April 2013 02:35Web

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AMIETE – ET/CS/IT (NEW SCHEM

**E)**– Code: AE51/AC51/AT51

Subject: ENGINEERING MATHEMATICS - I

**Time:**three Hours Ma

**x.**

**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)****(**(2,-2)

**B)****(**

**C)****(**(-2,2)

**D)****c.**Value of the integral is

**(**one

**A)****(**0

**B)****(**

**C)****(**None

**D)****d.**Rank of the matrix A = is

**(**0

**A)****(**1

**B)****(**three

**C)****(**2

**D)****e.**Eigen values of the matrix A = are

**(**2, 3, five

**A)****(**–2, 0, 5

**B)****(**2, 2, five

**C)****(**2, 5, -3

**D)****f.**Root of the formula xex = cos x in (0,

**1)**using Regula-Falsi method after 2 iteration is

**(**0.5362

**A)****(**0.4467

**B)****(**0.1932

**C)****(**None

**D)**g. Solution of is

**(**y=c1ex+c2e2x

**A)****(**y=c1+(c2+c3x)e-x

**B)****(**y=(c1+c2x+c3x2)e-x

**C)****(**y=c1+c2e-x

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

Earning: Approval pending. |