Instrumentation Engineering
GATE IN Calculus PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–19 of 19. Imported answers require independent review unless marked reviewed.
Question 13
Open questionINMCQ1 markNeeds review
A periodic function
, with period 2, is defined as
The Fourier series of this function contains ______Your answerChoose one option.
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Open questionINNAT1 markNeeds review
The global minimum of
for
occurs at
______ (round off to one decimal place)Log in to check the answer
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Open questionINNAT1 markNeeds review
Consider the function
. The minimum value of the function in the interval [5, 10] is ___.Log in to check the answer
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Open questionGAMCQ1 markNeeds review
Define
as the greatest integer less than or equal to
, for each
. If
, then area under
for
is _____.Your answerChoose one option.
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Open questionINNAT2 marksNeeds review
Consider the function
. The minimum value the function attains on the line
(rounded off to one decimal place) is ____Log in to check the answer
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Open questionGAMCQ1 markNeeds review
For
,
and
are both decreasing functions in the interval ________.Your answerChoose one option.
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Open questionINNAT1 markNeeds review
Consider two functions
and
, where
is real. The smallest value of
for which
is _____.Log in to check the answer
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Open questionINMCQ2 marksNeeds review
Given
, the value of the line integral
along the straight line
from
to
isYour answerChoose one option.
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Open questionINMCQ2 marksNeeds review
Consider the following equations
where p and q are constants.
that satisfies the above equations isYour answerChoose one option.
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