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Subject Revision:Engineering Mathematics Quiz

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Question 1

Consider the function f(z) = z + z* where z is a complex variable and z* denotes its complex
conjugate. Which one of the following is true?

Question 2

Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is

Question 3

The maximum value of “a” such that the matrix has three linearly independent real eigenvectos is

Question 4

A function y(t), such that y (0) =1 and y(1) = , is a solution of the differential equation Then y(2) is

Question 5

The Newton-Raphson method is used to find the roots of the equation
f(x) = x – cos πx 0 ≤ x ≤ 1
If the initial guess for the root is 0.5, then the value of x after the first iteration is ______.
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Jun 21ESE & GATE EC