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GATE CS 2022 : Engineering Mathematics -1

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Question 1

Consider the following integrals.
and  

Then what is the value of

Question 2

Consider the following functions.
(i)
(ii)
(iii)
Which of the above functions are not having an absolute minimum but have absolute maximum.

Question 3

Consider the function f(x) = x+ln x and f is differentiable on (1,e) and f(x) is continous on [1,e]. Determine the c value using mean valuetheorem.[by computing f'(c) =

Question 4

Consider the following function

Find the points at which f has absolute minimum and absolute maximum repectively.

Question 5

Question 6

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Nov 9GATE & PSU CS