# Engineering Mathematics-Calculus [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 7 of 13

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## Question 1

Appeared in Year: *2010*

### Question MCQ▾

If then y has a (2 marks)

### Choices

Choice (4) | Response | |
---|---|---|

a. | minimum at | |

b. | minimum at | |

c. | maximum at | |

d. | maximum at |

## Question 2

Appeared in Year: *2010*

### Question MCQ▾

If _{,} then over the path shown in the figure is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 0 | |

b. | ||

c. | 1 | |

d. |

## Question 3

Appeared in Year: *2015*

### Question MCQ▾

A function is defined in the closed interval . The value of x, in the open interval for which the mean value theorem is satisfied, is

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 4

Appeared in Year: *2015*

### Question MCQ▾

Which one of the following graphs describe the function

?

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 5

## Question 6

Appeared in Year: *2017*

### Question Numeric Answer▾

Let where x, y, z is real, and let C be the straight-line segment from point . The value of I is …

Edit## Question 7

Appeared in Year: *2015*

### Question MCQ▾

The contour on the plane, where the partial derivative of with respect to y is equal to the partial derivative of with respect to , is

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |