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Engineering Mathematics: Nuclear Quiz 3
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Question 1
The equation
is to be solved using Newton-Raphson method. If x=4 is taken as the initial approximation, then the next approximation will be?

Question 2
Given
The value of by Trapezoidal rule is (step size 0.5)
Question 3
The Newton-Raphson iteration function for a particular equation is given as
What is the equation?

Question 4
A function is defined as shown in the table below:
The value of using Simpson’s
rule is _____.
Question 5
For a given ordinary differential equation,
, find an approximate value of y for x=1, using 4th order Runge-Kutta method. Given that, y(0) = 1

Question 6
Find the Laplace transform of

Question 7
The Laplace transform of cos (4t) sin (2t) is
Question 8
In the Fourier series expansion of
when 0 < x < 2π, then value of ‘bn’ is

Question 9
What is the Laplace transform of e-3t(2 cos 5t - 3 sin 5t)
Question 10
If the inverse Laplace transformation of
is f(t), the value of f(0) is

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Dec 28ESE & GATE CE