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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


Question 2
Find out the rank of the given matrix,
Question 3
Let F(x) = f(x) +
where
then F(e) equals


Question 4
The solution of the differential equation

Question 5
Evaluate
where C is circle |z| = 3

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.

Question 7
If
then
over the path shown in the figure is



Question 8
The value of

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Jun 5ESE & GATE EC