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Achiever Study Plan ESE-2018: Engineering Mathematics Quiz 4

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Question 1

Laplace transform of . The Laplace transform of is

Question 2

The minimum value of function y = x2 in the interval [1, 5] is

Question 3

A function y = 5x2 +10 x is defined over an open interval x = (1, 2). At least at one point in this interval. is exactly

Question 4

Which one of the following statements is true for all real symmetric matrices?

Question 5

A polynomial with all coefficients positive has

Question 6

In spherical coordinates, let denote unit vectors along the θ, φ directions


represent the electric and magnetic field components of the EM wave at large distances r from a dipole antenna, in free space. The average power (W) crossing the hemispherical shell located at r = 1 km, 0 ≤ θ ≤ π/2 is ________
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Aug 24ESE & GATE EE