GATE AE topic:calculus PYQs & Answers

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 34. Imported answers require independent review unless marked reviewed.

Topic practice 34 questionsPage 1 of 4

Consider the contour

shown in the figure below. For the vector

, the integral

______.

Here

represents an infinitesimal length along the contour

Diagram for Aerospace Engineering question 11

Your answerChoose one option.

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The minimum value of the function

for real

is ________ (rounded off to 1 decimal place).

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If the function

is continuous at

, the value of

is _____.

Your answerChoose one option.

2.5

3.5

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The maximum value of the function

in the domain

occurs at

(rounded off to two decimal places).

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(answer in integer).

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The equation of a closed curve in two-dimensional polar coordinates is given by

. The area enclosed by the curve is

(answer in integer).

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and

denote unit vectors in the

and

directions, respectively. The outward flux of the two-dimensional vector field

over the unit circle centered at the origin is

(rounded off to two decimal places).

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The volume of the solid formed by a complete rotation of the shaded portion of the circle of radius R about the y-axis is

. The value of

is:

Diagram for Aerospace Engineering question 37

Your answerChoose one option.

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Consider the function

where x is real. Which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

The function is continuous for all x

The derivative of the function is discontinuous at x = 0

The derivative of the function is continuous at x = 1

The function is discontinuous at x = 0

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The direction in which a scalar field

has the largest rate of change at any point with position vector

is the same as that of the vector

Your answerChoose one option.

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GATE AE topic:calculus PYQs

How to practice topic:calculus

Question 11

Question 51

Question 15

Question 40

Question 41

Question 42

Question 45

Question 37

Question 45

Question 11