GATE PI area:engineering-mathematics PYQs & Answers — Page 6

Questions 51–60 of 87. Imported answers require independent review unless marked reviewed.

Topic practice 87 questionsPage 6 of 9

Values of function

at discrete values of

for

are given in table. Using trapezoidal rule,

________. [round off to one decimal place]

x	0	1	2	3	4	5	6	7	8	9	10
y(x)	5	3	0	-5	-10	-6	0	5	11	18	30

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

The divergence of the vector

Your answerChoose one option.

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

An integrating factor for the differential equation

Your answerChoose one option.

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

For the complex numbers

and

, the value of

Your answerChoose one option.

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

To solve

, the Newton-Raphson method has been employed. If the initial guess

, the next estimate of the root,

, will be

Your answerChoose one option.

0.5

1.0

1.5

2.0

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

is a random variable with the expected value of 5 and the variance of 1, then the expected value of

Your answerChoose one option.

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

General solution of

Your answerChoose one option.

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

For the matrix

, the eigenvectors are

Your answerChoose one option.

and

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

For

, the value of

using Simpson’s

rule with two intervals (rounded off to two decimal places) is __________.

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

If the probability density function of a random variable

is given by

the value of

is __________.

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

GATE PI area:engineering-mathematics PYQs

Question 53

Question 1

Question 2

Question 3

Question 4

Question 5

Question 26

Question 27

Question 35

Question 36