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Achiever Study Plan ESE-2018: Engineering Mathematics Quiz 6

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Question 1

Let x2 – 117 =0. The iterative steps for the solution using Newton-Raphson’s method is given by

Question 2

The algebraic equation
is given.
F(s) = 0 has

Question 3

A differential equation has to be solved using trapezoidal rule of integration with a step size h = 0.01 s. Function u (t) indicates a unit step function. If x (0–) = 0, then value of x at t = 0.01s will be given by:

Question 4

Only one of the real roots of f(x) =x6 -x -1 lies in the interval 1≤x≤2 and bisection method is used to find its value. For achieving an accuracy of 0.001, the required minimum number of iterations is _________.

Question 5

The recursion relation to solve x = e-x using Newton Raphson method is

Question 6

The Newton-Raphson iterationcan be used to solve the equation
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Jun 20ESE & GATE EE