Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 36 - 43 of 71

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Question 36

Engineering Mathematics
Vectors in Plane and Space

Appeared in Year: 2017

Question

Numeric Answer▾

The smaller angle (in degrees) between the planes and is …

Question 37

Engineering Mathematics
Multiple Integrals, Line, Surface and Volume Integrals

Appeared in Year: 2019

Question

Numeric Answer▾

The value of the integral , is equal to … (Carry One Mark Each)

Question 38

Engineering Mathematics
Eigen Values and Eigen Vectors

Appeared in Year: 2017

Question

MCQ▾

Consider the matrix

It is given that A has only one real eigen value. Then the real eigen value of A is

Choices

Choice (4)Response

a.

b.

25

c.

0

d.

15

Question 39

Engineering Mathematics
Rank

Appeared in Year: 2017

Question

MCQ▾

The rank of the matrix is

Choices

Choice (4)Response

a.

b.

c.

d.

1

Question 40

Engineering Mathematics
Cauchy's Integral Theorem

Appeared in Year: 2019

Question

Numeric Answer▾

The value of the contour integral Evaluated over the unit circle is________. (Carry One Mark Each)

Question 41

Engineering Mathematics
Solution of Nonlinear Equations

Appeared in Year: 2015

Question

Numeric Answer▾

The method is used to solve the equation . Taking the initial guess as , the solution obtained at the end of the first iteration is …

Question 42

Engineering Mathematics
Taylor Series

Appeared in Year: 2017

Question

MCQ▾

Let for real . From among the following. Choose the Taylor series approximation of around , which includes all powers of less than or equal to .

Choices

Choice (4)Response

a.

b.

c.

d.

Question 43

Engineering Mathematics
Higher Order Linear Differential Equations

Appeared in Year: 2016

Question

Numeric Answer▾

The region specified by in cylindrical coordinates has volume of …

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