# Real Analysis [GATE (Graduate Aptitude Test in Engineering) Mathematics]: Questions 25 - 29 of 29

Access detailed explanations (illustrated with images and videos) to 34 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 100.00 -OR-

## Question 25

Real Analysis

Appeared in Year: 2004

### Question

MCQ▾

The function has a

### Choices

Choice (4)Response

a.

Maximum at

b.

Minimum at

c.

Maximum at

d.

Minimum at

## Question 26

Real Analysis
Riemann Integration

### Question

MCQ▾

The numbers, whose sum is 16 and the sum of whose cubes is minimum, are

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 27

Real Analysis
Riemann Integration

Appeared in Year: 2009

### Question

MCQ▾

A cubic polynomial with real coefficients?

### Choices

Choice (4)Response

a.

May have up to three extrema and up to 2 zero crossings

b.

Cannot have more than two extrema and more than three zero crossings

c.

Can possibly no extrema and no zero crossings?

d.

Will always have an equal number of extrema and zero crossings

## Question 28

Real Analysis

Appeared in Year: 2006

### Question

MCQ▾

Equation of the line normal to function + 1 at is?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 29

Real Analysis

### Question

MCQ▾

A function is given as . Which of the following represents ?

### Choices

Choice (4)Response

a.

b.

c.

d.

Developed by: