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GATE 2023 Engg. Mathematics Quiz 9

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Question 1

Given a function

Which of the following statements about f(x) are correct?

1.

2.

3.

4.

Question 2

Find the value of

Question 3

The Laurent’s series expansion of   in the region  is:

Question 4

Find integration of complex function around

Question 5

Whatis the Rank of the matrix

Question 6

If diagonal matrix entries for matrix A is a, b, c. Then the value of (a + b + c) is _______. Where matrix A is given as: .

Question 7

If ya is an integrating factor for the differential equation 2xydx–(3x2 – y2)dy = 0. Then the value of a is

Question 8

The integral , where ‘D’ denotes the disc x2 + y2 4, evaluate to _______.
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Jul 3ESE & GATE EC