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Gate 2021: Engineering Mathematics Quiz 10 (App update required to attempt this test)
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Question 1
In the Taylor series expansion of ex about x = 2, the coefficient of (x – 2)4 is
Question 2
The directional derivative of the function f(x, y) = x2 + y2 along a line directed from (0, 0) to (1, 1), evaluated at the point x = 1, y = 1 is
Question 3
The Gauss divergence theorem relates certain
Question 4
The directional derivative of
at
in the direction of line PQ, where
, is _____.
![](https://gradeup-question-images.grdp.co/liveData/PROJ5619/1497958483811398.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5619/1497958484461895.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5619/1497958485164838.png)
Question 5
What is the value of
?
![](https://gs-question-images.grdp.co/1449840468189253.png)
Question 6
The value of
where V is the region bounded by x=0, y=0, z=0 and 2x + 2y + z = 4.
![](https://gradeup-question-images.grdp.co/liveData/PROJ24716/1547100407784572.png)
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Nov 26ESE & GATE CE