GATE CE Calculus PYQs & Answers — Page 4

Questions 31–40 of 43. Imported answers require independent review unless marked reviewed.

Topic practice 43 questionsPage 4 of 5

For a small value of

, the Taylor series expansion for

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What is curl of the vector field

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Which one of the following is NOT a correct statement?

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The function

, has the global maxima at

The function

, has the global minima at

The function

has neither global minima nor global maxima

The function

has the global minima at

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Consider two functions:

and

. Which one of the following is the correct expression for

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At the point

, the function

has

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local maximum

local minimum

both local maximum and minimum

neither local maximum nor local minimum

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The value of the integral

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The value (up to two decimal places) of a line integral

, for

along C which is a straight line joining (0,0) to (1,1) is

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Let

, where

and

are functions of

. Then, according to the chain rule,

is equal to

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Let

be a continuous variable defined over the interval

, and

. The integral

is equal to

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The divergence of the vector field

is ________.

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GATE CE Calculus PYQs

Question 4

Question 4

Question 26

Question 30

Question 3

Question 26

Question 37

Question 2

Question 3

Question 19