Questions 31–40 of 89. Imported answers require independent review unless marked reviewed.

Topic practice 89 questionsPage 4 of 9

Question 11

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The value of

is
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Question 12

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A velocity field in Cartesian coordinate system is expressed as

, where

If

,

is
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Question 13

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The constant term of the Fourier coefficients of the periodic function

is
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Question 14

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Two vectors

and

are shown in the figure. The projection vector of

on

is
Diagram for Mining Engineering question 14

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Question 37

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The closest match of the scatter plot between the variables X and Y with the approximate attribute is
Diagram for Mining Engineering question 37

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Question 42

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Let

be a continuous and differentiable function on [3, 18]. If

and

, then the largest possible value of

, is ________. (in integer)

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Question 43

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Let

, where

and

are temperatures in degree centigrade of a room and a thermometer, respectively, and

denotes time in minutes. A thermometer at a reading of 2°C is brought in a room of temperature 40°C. Two minutes later, the thermometer reads 15°C. The time elapsed in minutes when the thermometer reads 39.5°C, is ______. (round off to two decimal places)

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Question 44

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In a health centre, the probability of ‘full occupancy’ of COVID beds for a day is 0.8. Assuming Binomial probability distribution, the probability of full occupancy exactly for 5 days in a week, is ______. (round off to three decimal places)

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Question 62

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The value of

, is ______. (round off to two decimal places)

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Question 3

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Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is:
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