GATE ECE topic:calculus PYQs & Answers — Page 2

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topic:calculus

Questions 11–20 of 21. Imported answers require independent review unless marked reviewed.

Topic practice 21 questionsPage 2 of 3

For the solid

shown below, the value of

(rounded off to two decimal places) is __________ .

Diagram for Electronics and Communication Engineering question 51

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The value of the integral

, is equal to _____.

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Consider a differentiable function

on the set of real numbers such that

and

. Given these conditions, which one of the following inequalities is necessarily true for all

Your answerChoose one option.

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Let

, where a and b are constants. If

and

, then the relation between a and b is

Your answerChoose one option.

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Taylor series expansion of

around

has the form

The coefficient

(correct to two decimal places) is equal to ______.

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Let

and

. Assume that

and

are independent variables. At

, the value (correct to two decimal places) of

is ________ .

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Let

for real

. From among the following, choose the Taylor series approximation of

around

, which includes all powers of

less than or equal to 3.

Your answerChoose one option.

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The values of the integrals

and

are

Your answerChoose one option.

same and equal to 0.5

same and equal to −0.5

0.5 and −0.5, respectively

−0.5 and 0.5, respectively

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A three dimensional region

of finite volume is described by

where

are real. The volume of

(up to two decimal places) is ________.

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Starting with

, the solution of the equation

, after two iterations of Newton-Raphson’s method (up to two decimal places) is __________.

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GATE ECE topic:calculus PYQs

Question 51

Question 19

Question 26

Question 12

Question 24

Question 52

Question 26

Question 26

Question 27

Question 30