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GATE 2023 Engg. Mathematics Quiz 3

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Question 1

If is, then A is

Question 2

The value of , where ‘C’ is th e circle z= 3, is

Question 3

If ,where 0, then is is

Question 4

The general solution of the differential equation:

ex tan ydx + (1 – ex)sec2ydy = 0 is

Question 5

If & , then find the determinant of ?

Question 6

If the semi-circular contour D of radius 2 is as shown in the figure, then the value of the integral ds is:

Question 7

Consider the following equations
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be

Question 8

Consider a curve described by f(x) = 2x3 – 3x2 – 36x + 10. Minimum of slope for the given curve occurs at what value of x.
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May 8ESE & GATE EC