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Gate 2019: Engineering Mathematics Quiz 6
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Question 1
Consider the time-varying vector in Cartesian coordinates,
Where is a constant. When the vector magnitude III is at its minimum value, the angle 0 that I make with the x axis (in degrees, such that) is
Where is a constant. When the vector magnitude III is at its minimum value, the angle 0 that I make with the x axis (in degrees, such that) is
Question 2
The magnitude of the gradient for the function at the point (1,1,1) is
Question 3
If the vector function is irrotational, then the values of the constants k1, k2 and k3 respectively, are
Question 4
A vector field D = exists inside a cylindrical region enclosed by the surfaces r = 1, z = 0 and z = 5. Let S be the surface bounding this cylindrical region. The surface integral of this field on S is _____.
Question 5
The residues of a function f(z) are
Question 6
Let U and V be two independent zero mean Gaussian random variables of variances and respectively. The probability is
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Feb 23ESE & GATE EC