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

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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.

Represents F (X) Choice-A

b.

Represents F (X) Choice-B

c.

Represents F (X) Choice-C

d.

Represents F (X) Choice-D

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