Metallurgical Engineering
GATE MT Calculus PYQs
Build your understanding with focused practice from past exam papers.
How to practice Calculus
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 22. Imported answers require independent review unless marked reviewed.
Question 13
Open questionMTMCQ1 markNeeds review
Choose one correct option.
Given
where
and
are constants.The value of
is:Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
If
for all real values of
, which one of the following statements is true?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 25
Open questionMTMSQ1 markNeeds review
Which of the following functions is/are expandable using Maclaurin series?
Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
Open questionMTNAT2 marksNeeds review
The value of
is _____ (in integer).Log in to check the answer
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Open questionMTMCQ1 markNeeds review
Which one of the following is the Taylor-series expansion of
about the origin for
?
is a real number.Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
Open questionMTNAT2 marksNeeds review
The integral
evaluates to ________.
(Round off to two decimal places)Log in to check the answer
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Open questionMTMCQ1 markNeeds review
The value of
isYour answerChoose one option.
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Open questionMTNAT1 markNeeds review
The maximum value of function
in the domain
is __________ (round off to nearest integer).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 44
Open questionMTMCQ2 marksNeeds review
Match the plots in Section I with the corresponding functions in Section II.
Section I: (P), (Q), (R), and (S) are the four plotted curves.
Section II
(1)
(2)
(3)
(4)
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 11
Open questionMTMCQ1 markNeeds review
The Taylor series expansion around
of the function
truncated to first two terms is __________Your answerChoose one option.
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