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GATE 2023 Engg. Mathematics Quiz 10
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Question 1
The divergence of the vector field
at (1,1,1) is
![](https://gradeup-question-images.grdp.co/equations/1577863603435.png)
Question 2
The value of k such that f(x) = kx is a probability density function in 0 < x < 1 is _______.
Question 3
In eight throws of a dice, 5 (or) 6 is considered as a success then standard deviation of success is
Question 4
With K as a constant, the possible solution for the first order differential equation
is
![](https://gs-question-images.grdp.co/145622378222525.png)
Question 5
A curve given by
is revolved around the x-axis. The volume of solid generated is ......
?
![](https://gradeup-question-images.grdp.co/liveData/PROJ18265/1530180506298836.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ18265/1530180508483836.png)
Question 6
X and Y are two continuous random variable with joint distribution:
![](https://gradeup-question-images.grdp.co/equations/1572515359620.png)
The value of the constant c is:
![](https://gradeup-question-images.grdp.co/equations/1572515359620.png)
The value of the constant c is:
Question 7
If
, Then the values of a and b are?
![](https://gradeup-question-images.grdp.co/liveData/PROJ54366/1598527184971586.png)
Question 8
Consider the differential equation
with
then
is _______
![](https://gradeup-question-images.grdp.co/liveData/PROJ86061/1629698473952643.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ86061/1629698474656250.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ86061/1629698475354512.png)
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Jul 10ESE & GATE EC