GATE CH topic:calculus PYQs & Answers — Page 3

Questions 21–29 of 29. Imported answers require independent review unless marked reviewed.

Topic practice 29 questionsPage 3 of 3

The maximum value of the function

in the interval

Your answerChoose one option.

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The value of the expression

Your answerChoose one option.

∞

−1

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and

are directions in a Cartesian coordinate system and

and

are the respective unit vectors, the directional derivative of the function

at the point

in the direction

is __________ (rounded off to two decimal places).

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For

and

are both decreasing functions in the interval ________.

Your answerChoose one option.

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The figure which represents

for

(x in radians) is

Your answerChoose one option.

Diagram for Chemical Engineering question 4

Diagram for Chemical Engineering question 4 (figure 2)

Diagram for Chemical Engineering question 4 (figure 3)

Diagram for Chemical Engineering question 4 (figure 4)

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then the value of

is ________

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The value of

is _____.

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The number of positive roots of the function

shown below in the range

is .

Diagram for Chemical Engineering question 3

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Let i and j be the unit vectors in the x and y directions, respectively. For the function

the gradient of the function, i.e.,

is given by

Your answerChoose one option.

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GATE CH topic:calculus PYQs

Question 27

Question 2

Question 34

Question 3

Question 4

Question 46

Question 1

Question 3

Question 4