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GATE 2023 Engg. Mathematics Quiz 5
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Question 1
The value of integral
where c is the circle
, will be
![](https://gradeup-question-images.grdp.co/liveData/PROJ38755/1572500563054819.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ38755/1572500563759224.png)
Question 2
Find out the rank of the given matrix,
Question 3
Let F(x) = f(x) +
where
then F(e) equals
![](https://gradeup-question-images.grdp.co/liveData/PROJ5492/1497522560027863.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5492/1497522560725545.png)
Question 4
The solution of the differential equation
![](https://gradeup-question-images.grdp.co/liveData/PROJ7731/1504865465334657.png)
Question 5
Evaluate
where C is circle |z| = 3
![](https://gradeup-question-images.grdp.co/liveData/PROJ55161/1598525759246731.png)
Question 6
Consider the differential equation
= sin(x + y) + cos (x + y) which one of the following can be a particular solution of this differential equation.
![](https://gradeup-question-images.grdp.co/liveData/PROJ48696/1588584694463450.png)
Question 7
If
then
over the path shown in the figure is
![](https://gs-question-images.grdp.co/1458130543138846.png)
![](https://gs-question-images.grdp.co/1458130543816869.png)
![](https://gs-question-images.grdp.co/1458130544524647.jpg)
Question 8
The value of
![](https://gradeup-question-images.grdp.co/liveData/PROJ5488/1497520646208686.png)
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Jun 5ESE & GATE EC