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GATE 2023 Engg. Mathematics Quiz 9
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Question 1
Given a function
![](https://gradeup-question-images.grdp.co/liveData/PROJ58225/1602237762163855.png)
Which of the following statements about f(x) are correct?
1.
2.
3.
4.
Question 2
Find the value of ![](https://gradeup-question-images.grdp.co/liveData/PROJ24750/1547125017242783.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ24750/1547125017242783.png)
Question 3
The Laurent’s series expansion of
in the region
is:
![](https://gradeup-question-images.grdp.co/equations/1587119042764.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ37557/1568023118842590.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ37557/1568023119547597.png)
Question 4
Find integration of complex function
around
![](https://gradeup-question-images.grdp.co/liveData/PROJ20280/1534165784537554.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ20280/153416578525282.png)
Question 5
Whatis the Rank of the matrix
![](https://gradeup-question-images.grdp.co/liveData/PROJ8670/1508158617358168.png)
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:
.
![](https://gradeup-question-images.grdp.co/liveData/PROJ69745/1611553194207253.png)
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 _______.
![](https://gradeup-question-images.grdp.co/liveData/PROJ51315/1592196816276626.png)
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Jul 3ESE & GATE EC