# GATE (Graduate Aptitude Test in Engineering) Mathematics: Questions 18 - 25 of 34

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## Question 18

Appeared in Year: 2008

### Question

MCQ▾

Given , the value of is equal to

### Choices

Choice (4)Response

a.

0

b.

4

c.

13

d.

12

## Question 19

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 20

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

## Question 21

### Question

MCQ▾

Let f (x) = x . The maximum value of the function in the interval is

### Choices

Choice (4)Response

a.

e

b.

c.

1 +

d.

1-

## Question 22

Riemann Integration

### Question

MCQ▾

For the minimum value of the function f (t) = occurs at

### Choices

Choice (4)Response

a.

b.

c.

= 0

d.

## Question 23

Appeared in Year: 2007

### Question

MCQ▾

For real the maximum value of is

### Choices

Choice (4)Response

a.

b.

e

c.

1

d.

## Question 24

Appeared in Year: 2015

### Question

MCQ▾

At x = 0, the function f (x) = be?

### Choices

Choice (4)Response

a.

Point of inflection

b.

Minimum

c.

Neither maximum nor minimum.

d.

Maximum

## Question 25

### Question

MCQ▾

If e is the base of the natural logarithms then the equation of the tangent from the origin to the curve is

### Choices

Choice (4)Response

a.

b.

c.

d.

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