GATE XE topic:calculus PYQs & Answers — Page 3

Questions 21–28 of 28. Imported answers require independent review unless marked reviewed.

Topic practice 28 questionsPage 3 of 3

The number of critical points of the function

at which there is neither maximum nor minimum is ________ .

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Let

be a three times continuously differentiable real valued function on

such that its third derivative

for all

. If

is a polynomial of degree

such that

and

then

equals ____________

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Let

be a continuously differentiable real valued function defined by

Then the value of

is ______________

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A rectangular box without top cover having a square base is to be made from a sheet of 108 square meters. Then the largest possible volume of the box in cubic meters is ______________

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If the value of the integral (I) is 4, the value of the constant b is __________ (give answer up to 2 decimal places).

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for some

, then the value of

is ________.

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Let

and

be defined by

where

denotes the set of real numbers. Then, at

Your answerChoose one option.

is differentiable but

is NOT differentiable

is NOT differentiable but

is differentiable

both

and

are differentiable

neither

nor

is differentiable

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Let

for

. Then

Your answerChoose one option.

converges but

does NOT converge

does NOT converge but

converges

both

and

converge

neither

nor

converges

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GATE XE topic:calculus PYQs

Question 10

Question 3

Question 6

Question 7

Question 19

Question 1

Question 8

Question 11