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GATE 2019: Engineering Mathematics Rapid Quiz-3

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Question 1

An unbaised coin was tossed three times, the probability of getting at most two heads is___.

Question 2

If and the angle between and is then is equal to _____.

Question 3

transforms to

in polar coordinates

and

then a, b, c respectively, are

Question 4

then the value of div curl

is _____.

Question 5

For the vector

ï the value of

____________

Question 6

Consider the matrix

Which one of the following statements about P is INCORRECT?

Question 7

Find the differential equation whose solution represents the family $Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image105.png$ .

Question 8

The solution of $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2007_files\image031.png$ with initial value y (0) = 1 is bounded in the interval

Question 9

If F(s) is the Laplace transform of function f (t), then Laplace transform of $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2007_files\image040.png$

Question 10

By a change of variables x(u,v)=uv, y(u,v)= $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image074.png$ in a double integral, the integrand f(x, y) changes to $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image075.png$ .Then, $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image076.png$ is

Question 11

A delayed unit step function is defined as $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image116.png$ Its Laplace transform is

Question 12

The probability that a screw manufactured by a company is defective is 0.1. The company sells screws in packets containing 5 screws and gives a guarantee of replacement if one or more screws in the packet are found to be defective. The probability that a packet would have to be replaced is ____________

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ESE & GATE ME Engineering Mathematics

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