Aerospace Engineering
GATE AE area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 51–60 of 83. Imported answers require independent review unless marked reviewed.
Question 1
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For
, with
denoting the derivative, the mean value theorem is not applicable becauseYour answerChoose one option.
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For the function
, where
, and
and
are constants, the maximum occurs atYour answerChoose one option.
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, where
,
and
are constants, is a solution ofYour answerChoose one option.
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Given
, the sum of squares of eigenvalues of
isYour answerChoose one option.
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The similarity solution for the diffusion equation,
is
, where similarity variable,
. If
, the ratio
______ (round off to one decimal place).Log in to check the answer
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The equation
, where
is a constant, represents a family ofYour answerChoose one option.
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A closed curve is expressed in parametric form as
and
, where
m and
m. Approximating
, which of the following is the area enclosed by the curve?Your answerChoose one option.
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In the equation
,
,
,
, where
is an orthogonal matrix, the sum of the unknowns,
______ (round off to one decimal place).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
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The maximum value of the function
(where
is real) isYour answerChoose one option.
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Vector
is obtained by rotating
by
about
, where
,
and
are unit vectors along the
,
and
axes, respectively.
is given byYour answerChoose one option.
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