# 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

### 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. |