GATE MA topic:calculus PYQs & Answers — Page 6

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topic:calculus

Questions 51–58 of 58. Imported answers require independent review unless marked reviewed.

Topic practice 58 questionsPage 6 of 6

Let

be the region in the

-plane bounded by the curves

and

Then the value of the integral

is equal to ______.

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Let

for

. Then the directional derivative of

in the direction

at the point

is ________.

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Let

denote the closed disc with center at the origin and radius 2. Then

Your answerChoose one option.

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Let

be the surface of the solid

Let

denote the unit outer normal to

and let

Then the surface integral

equals _________.

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Let

be the circle in

oriented positively. Then

equals ______.

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, where

is a differentiable function, then

satisfies

Your answerChoose one option.

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Let

be defined by

Then, at

Your answerChoose one option.

is continuous and the directional derivative of

does NOT exist in some direction

is NOT continuous and the directional derivatives of

exist in all directions

is NOT differentiable and the directional derivatives of

exist in all directions

is differentiable

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Let

be the region in

bounded by the parabola

and the line

. Then

equals ________.

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GATE MA topic:calculus PYQs

Question 45

Question 17

Question 28

Question 44

Question 6

Question 17

Question 33

Question 34