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ESE 2021 Technical Quiz || Numerical Method
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Question 1
Using Runge’s formula of order 2, when x = 1.1 m, given
and y = 1.2 when x = 1, taking h = 0.1. The value of y will be nearly

Question 2
The Newton-Raphson’s iteration formula to find the solution of an equation is given by
, where R is constant. The function f(x) is

Question 3
In a reliability subsystem as shown, what will be the overall reliability of the system, if all individual components have reliability?

Question 4
For the function f(x), if starting value is 2, then using N-R method, next iteration value is _________, provided f(x) given as x + √x – 3 = 0.
Question 5
The recurrence relation of f(x) using Newton-Raphson method is (where f(x) = x + sin(x)
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Jun 23ESE & GATE EE