GATE ES topic:calculus PYQs & Answers — Page 2

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

Topic practice 20 questionsPage 2 of 2

Which one of the following options represents the given graph?

Diagram for Environmental Science and Engineering question 7

Your answerChoose one option.

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Given are two infinite series

The correct choice is

Your answerChoose one option.

P is convergent series; Q is divergent series

P is divergent series; Q is convergent series

Both P and Q are convergent series

Both P and Q are divergent series

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The value of

is __________ (rounded off to two decimal places).

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For the function

, the maximum value in the range

is __________________ (rounded off to two decimal places).

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is ________ (rounded off to one decimal place)

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The area of the region (rounded off to one decimal place) enclosed between the curves

and

and between the lines

and

is ________ units.

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A tangent is drawn on the curve of the function

at the point

. The slope of the tangent is ________.

Your answerChoose one option.

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________

Your answerChoose one option.

−1

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Consider the following equation:

Which of the following is/are the root(s) of the above equation?

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

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, where

, then the value of the ratio

is ________ (answer in integer).

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GATE ES topic:calculus PYQs

Question 7

Question 13

Question 33

Question 49

Question 34

Question 52

Question 1

Question 2

Question 21

Question 41