GATE XE topic:calculus PYQs & Answers — Page 2

Questions 11–20 of 28. Imported answers require independent review unless marked reviewed.

Topic practice 28 questionsPage 2 of 3

The surface area of the portion of the paraboloid

that lies between the planes

and

Your answerChoose one option.

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The value of

Your answerChoose one option.

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Let

be the continuous function such that

for all

, where

for all

. Then

is equal to

Your answerChoose one option.

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Let

be given by

. The number of critical points where

has local maximum is equal to _________.

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Let

be a non-negative continuous function of real variable

. If the area under the curve

from

, then the value of

is ______ (round off to one decimal place).

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Let

be a real valued function. Then, which one of the following statements is TRUE for all

Your answerChoose one option.

is not a stationary point of

has a local maxima at

has a local minima at

has a saddle point at

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Let

be a continuous function on the real line such that for any

. Then

is _____.

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The number of points at which the function

has local minima is _____.

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Let

be a real-valued differentiable function on

such that

and

for

. Then the series

Your answerChoose one option.

converges but not absolutely.

is unbounded.

converges absolutely.

is bounded but does not converge.

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For the series

, which of the following statements is NOT correct?

Your answerChoose one option.

The series converges at

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GATE XE topic:calculus PYQs

Question 19

Question 11

Question 18

Question 20

Question 4

Question 8

Question 6

Question 7

Question 8

Question 2