Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 29 - 34 of 40

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Question 29

Engineering Mathematics
Normal and Binomial Distribution

Appeared in Year: 2019

Question

MCQ▾

The variable x takes a value between 0 and 10 with uniform probability distribution. The variable y takes a value between 0 and 20 with uniform probability distribution. The probability of the sum of variables (x + y) being greater than 20 is

Choices

Choice (4)Response

a.

0

b.

0.50

c.

0.33

d.

0.25

Question 30

Engineering Mathematics
Laplace Transforms

Appeared in Year: 2021

Question

MCQ▾

If the Laplace transform of a function f (t) is given by , then f (0) is ________. (February Shift 2)

Choices

Choice (4)Response

a.

0

b.

1

c.

d.

Question 31

Engineering Mathematics
Eigen Values

Appeared in Year: 2021

Question

MCQ▾

Consider an matrix A and a non-zero vector p. Their product . where where α ϵ R and . Based on the given information, the eigen value of is: (February Shift 2)

Choices

Choice (4)Response

a.

b.

c.

d.

Question 32

Engineering Mathematics
First Order and Higher Order Linear Differential Equations

Appeared in Year: 2019

Question

MCQ▾

For the equation , if , then the value of is

Choices

Choice (4)Response

a.

b.

c.

d.

Question 33

Engineering Mathematics
Analytic Functions

Appeared in Year: 2019

Question

MCQ▾

A harmonic function is analytic if it satisfies the Laplace equation. If is a harmonic function, then its conjugate harmonic function is ________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question 34

Engineering Mathematics
Definite and Improper Integrals

Appeared in Year: 2019

Question

Numeric Answer▾

Evaluation of using a 2-equal-segment trapezoidal rule gives a value of ________

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