GATE ECE area:engineering-mathematics PYQs & Answers — Page 10

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Questions 91–100 of 100. Imported answers require independent review unless marked reviewed.

Topic practice 100 questionsPage 10 of 10

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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An integral

over a counterclockwise circle

is given by

is defined as

, then the value of

Your answerChoose one option.

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Let

where

are real, and let

be the straight line segment from point

to point

. The value of

is ________.

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If the vector function

is irrotational, then the values of the constants

and

, respectively, are

Your answerChoose one option.

0.3, −2.5, 0.5

0.0, 3.0, 2.0

0.3, 0.33, 0.5

4.0, 3.0, 2.0

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Which one of the following is the general solution of the first order differential equation

, where

are real?

Your answerChoose one option.

, where

is a constant.

, where

is a constant.

, where

is a constant.

, where

is a constant.

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Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved 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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The minimum value of the function

in the interval

occurs at

________.

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GATE ECE area:engineering-mathematics PYQs

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