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Achiever Study Plan ESE-2018: Engineering Mathematics Quiz 2

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Question 1

Assuming i=√-1 and t is a real number,    is _________.

Question 2

The real part of an analytic function f(z) where is given by e-y cos(x). The imaginary part of f(z) is

Question 3

Which one of the following graphs describes the function Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image133.png

Question 4

The matrix has det A = 100 and trace A=14
The value of is?

Question 5

In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is _____

Question 6

If the vectors e1 = (1, 0, 2), e2 = (0, 1, 0) and e3 = (−2, 0, 1) form an orthogonal basis of the three-dimensional real space R3, then the vector u=(4,3,-3) ∈ R3 can be expressed as
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Aug 23ESE & GATE EE