GATE BT Calculus PYQs & Answers — Page 3

Questions 21–30 of 31. Imported answers require independent review unless marked reviewed.

Topic practice 31 questionsPage 3 of 4

A function

is as follows:

The function

is a continuous function when

is equal to ____________ (answer is an integer).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Given that

, the value of

for X = 1 and Y = 0 is ____________ (answer is an integer).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A function f is given as:

The function f is maximized when X is equal to __________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

An infinite series S is given as:

S = 1 + 2/3 + 3/9 + 4/27 + 5/81 + … (to infinity)

The value of S is __________ (round off to 2 decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The solution of

is __________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which one of the following is the solution for

, for values of

in the range of

Your answerChoose one option.

45°

90°

180°

270°

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Calculate the following integral (up to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

, then,

(up to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

is ________________ .

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For y = f(x), if

at x = 0, and y = 1 at x =1, the value of y at x = 2 is ________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE BT Calculus PYQs

Question 17

Question 18

Question 50

Question 51

Question 21

Question 19

Question 41

Question 43

Question 6

Question 16