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GATE 2018 Exam: Engineering Mathematics Quiz 17
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Question 1
The degree of differential equation 
is__________.
Question 2
The surface integral 
over the surface S of the sphere x2 + y2 + z2 = 9, where F=(x+y)i+(x+z)j+(y+z) k and n is the unit outward surface normal, yields ______.
over the surface S of the sphere x2 + y2 + z2 = 9, where F=(x+y)i+(x+z)j+(y+z) k and n is the unit outward surface normal, yields ______. Question 3
If 
, where x > 0 then 
is
, where x > 0 then is Question 4
Let A be a 3 x 3 real matrix with eigen values 1, 2, 3 and let B = A-1 + A2, then the trace of B is _______.
Question 5
The given eigen values of the following matrix are represented by 
and 
The value of
is ___.
and The value of
is ___. Question 6
An analytic function of a complex variable z = x + iy is expressed as f(z) = u (x,y) + i v (x,y) where 
If u = xy, the expression for v should be
If u = xy, the expression for v should beQuestion 7
If F(s) is the Laplace transform of function f (t), then Laplace transform of 
Question 8
The Newton-Raphson method is used to find the roots of the equation
If the initial guess for the root is 0.5, then the value of x after the first iteration is _______.
If the initial guess for the root is 0.5, then the value of x after the first iteration is _______.
Question 9
A single die is thrown twice. What is the probability that the sum is neither 8 or 9?
Question 10
If
then the value of div curl 
is _____.
then the value of div curl is _____. - 493 attempts
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