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BARC19 Engineering Mathematics Nuclear Quiz 1
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Question 1
Find the unit normal vector of the cone of revolution 
at a point (1,0,3)
at a point (1,0,3) Question 2
For a function 
the divergence at (0.5, -2, 2) is
the divergence at (0.5, -2, 2) is Question 3
Family of curves represented by the equation 
Question 4
The coefficient an in the Fourier series expansion of function f(x) = x – x3 in (-π, π) is
Question 5
The differential equation whose solution is 
where A and B are arbitraty constants, is of
where A and B are arbitraty constants, is of Question 6
The Laplace transform of 
Question 7
The value of 
where ‘C’ is the circle |z| = 3, is
where ‘C’ is the circle |z| = 3, is Question 8
Let A ϵ M3 (R) be such that det (A-I) = 0, where I denotes the 3 x 3 identity matrix. If the trace of A = 13 and det A = 32, then the sum of squares of the eigen values of A is _________.
Question 9
The rank of the following matrix is
Question 10
Which one of the following matrices is singular?
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Apr 13ESE & GATE CE
