Mechanical Engineering
2021 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 13–15 of 65. Imported answers require review unless explicitly marked reviewed.
Question 3
Open questionMEMCQ1 markNeeds review
The Dirac-delta function
for
, has the following property
The Laplace transform of the Dirac-delta function
for
;
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
The ordinary differential equation
subject to an initial condition
is solved numerically using the following scheme:
where
is the time step,
, and
. This numerical scheme is stable for all values of
in the interval ________.Your answerChoose one option.
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Open questionMEMCQ1 markNeeds review
Consider a binomial random variable
. If
are independent and identically distributed samples from the distribution of
with sum
, then the distribution of
as
can be approximated asYour answerChoose one option.
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