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GATE CE · 2022 · CE

Question 36: Calculus

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Question 36

CEMCQ2 marksNeeds review
Consider the polynomial

on the domain

given by

. The first and second derivatives are

and

.
Consider the following statements:
I. The given polynomial is zero at the boundary points

and

.
II. There exists one local maxima of

within the domain

.
III. The second derivative

throughout the domain

.
IV. There exists one local minima of

within the domain

.
The correct option is:
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2022CE

GATE CE 2022 · Paper 2

Civil Engineering · Original paper archive

Section
Civil Engineering
Question type
Multiple choice (MCQ)
Marks
2 marks
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