Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 44 - 50 of 71

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Question 44

Engineering Mathematics
Analytic Functions

Appeared in Year: 2015

Question

Numeric Answer▾

If C denotes the counter clockwise unit circle, the value of the contour integral is …

Question 45

Engineering Mathematics
Residue Theorem

Appeared in Year: 2017

Question

MCQ▾

An integral over a counter clock wise circle C is given by

If C is defined as , then the value of is

Choices

Choice (4)Response

a.

b.

c.

d.

Question 46

Engineering Mathematics
Variable Separable Method

Appeared in Year: 2015

Question

MCQ▾

The general solution of the differential equation

Choices

Choice (4)Response

a.

b.

c.

d.

Question 47

Engineering Mathematics
Multiple Integrals, Line, Surface and Volume Integrals

Appeared in Year: 2015

Question

Numeric Answer▾

A vector field exists inside a cylindrical region enclosed by the surfaces and Let S be the surface bounding this cylindrical region. The surface integral of this field on is …

Question 48

Engineering Mathematics
Vector Space

Appeared in Year: 2019

Question

Numeric Answer▾

If X and Y are random variables such that and , the ________. (Carry One Mark Each)

Question 49

Engineering Mathematics
Variable Separable Method

Appeared in Year: 2017

Question

MCQ▾

Which one of the following is the general solution of the first order differential equation

Where x, y are real?

Choices

Choice (4)Response

a.

b.

c.

d.

Question 50

Engineering Mathematics
Probability Distribution Functions

Appeared in Year: 2019

Question

Numeric Answer▾

Let be an exponential random variable with mean . That is, the cumulative distribution function of is given by

The , rounded off to two decimal places, is equal to ________.

(Carry One Mark Each)

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