Real Analysis [GATE (Graduate Aptitude Test in Engineering) Mathematics]: Questions 9 - 16 of 29

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Question 9

Real Analysis
Riemann Integration

Appeared in Year: 2008

Question

MCQ▾

For the real values of , the minimum value of the function is

Choices

Choice (4)Response

a.

0

b.

1

c.

2

d.

0.5

Question 10

Real Analysis

Appeared in Year: 2005

Question

MCQ▾

For the function , the maximum occurs when x is equal to

Choices

Choice (4)Response

a.

-1

b.

0

c.

2

d.

1

Question 11

Real Analysis

Appeared in Year: 1995

Question

MCQ▾

The function f (x) = has

Choices

Choice (4)Response

a.

A maxima at x = 1, but not minima

b.

No maxima, but a minima at x = 3

c.

A maxima at x = 1 and a minima at x = 3

d.

A maxima at x = 3 and a minima at x = 1

Question 12

Real Analysis

Question

MCQ▾

In the interval , the function is

Choices

Choice (4)Response

a.

Maximum at x = 2

b.

Maximum at x = 1

c.

Monotonically decreasing

d.

Maximum at x = 1.5

Question 13

Real Analysis
Riemann Integration

Question

MCQ▾

A function is given as

Find the optimal value of f (x, y) .

Choices

Choice (4)Response

a.

3

b.

10

c.

d.

Question 14

Real Analysis

Question

MCQ▾

The function

Choices

Choice (4)Response

a.

Has its maximum value at

b.

Has its maximum value at

c.

Is increasing on the interval

d.

Is increasing on the interval

Question 15

Real Analysis

Appeared in Year: 2004

Question

MCQ▾

The function has its maxima at

Choices

Choice (4)Response

a.

Both

b.

2 only

c.

Only

d.

Question 16

Real Analysis

Appeared in Year: 2004

Question

MCQ▾

A point on a curve is said to be an extreme if it is a local minimum or a local maximum. The number of distinct extrema for the curve is

Choices

Choice (4)Response

a.

2

b.

1

c.

3

d.

0

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