# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 18 - 24 of 40

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## Question 18

Engineering Mathematics
Numerical Solutions of Linear and Non Linear Algebraic Equations

Appeared in Year: 2021

### Question

Numeric Answer▾

Find the positive real root of using Newton – Raphson method. if the starting guess is 2, The numerical value of the root after two iterations is … (round off to two decimal places)

## Question 19

Engineering Mathematics
Analytic Functions

Appeared in Year: 2021

### Question

MCQ▾

Value of where is equal to (February Shift 2)

### Choices

Choice (4)Response

a.

16

b.

4

c.

4 i

d.

16 i

## Question 20

Engineering Mathematics
Vector

Appeared in Year: 2020

### Question

MCQ▾

The directional derivative of at point in the direction of vector is

### Choices

Choice (4)Response

a.

b.

c.

d.

7

## Question 21

Engineering Mathematics
Definite and Improper Integrals

Appeared in Year: 2020

### Question

MCQ▾

Let . Then, I may also be expressed as

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 22

Engineering Mathematics
Definite and Improper Integrals

Appeared in Year: 2019

### Question

Numeric Answer▾

The value of the following definite integral is ________ (round off to three decimal places)

## Question 23

Engineering Mathematics
First Order and Higher Order Linear Differential Equations

Appeared in Year: 2021

### Question

MCQ▾

Consider the following differential equation . The solution of the equation that satisfies the condition y (1) = 1 is ________. (February Shift 2)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 24

Engineering Mathematics
Eigen Values

Appeared in Year: 2019

### Question

MCQ▾

Consider the matrix

The number of distinct eigenvalues of P is

### Choices

Choice (4)Response

a.

3

b.

2

c.

0

d.

1

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