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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