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Subject Revision:Engineering Mathematics Quiz 3
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Question 1
Roots of the algebraic equation x3 + x2 + x +1 = 0 are
Question 2
Let S be the set of points in the complex plane corresponding to the unit circle. (That is, S = {z : |z| = l}). Consider the function f(z)=zz* where z* denotes the complex conjugate of z. The f(z) maps S to which one of the following in the complex plane
Question 3
For the differential equation 
+ 8x = 0 with initial conditions x(0) = 1 and 
, the solution is
+ 8x = 0 with initial conditions x(0) = 1 and , the solution is Question 4
The matrix 
is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and [U] matrices respectively are
is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and [U] matrices respectively are Question 5
Let x (t) = rect 
(where rect (x) = 1 for 
and zero otherwise). Then if sinc(x) =
, the Fourier Transform of x (t) + x (–t) will be given by
(where rect (x) = 1 for and zero otherwise). Then if sinc(x) =, the Fourier Transform of x (t) + x (–t) will be given by- 1091 attempts
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Jun 19ESE & GATE EC
