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ESE 2020: Engg. Mathematics Quiz 3
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Question 1
Consider the series: 
obtained from the newton Raphson method series converges to
obtained from the newton Raphson method series converges toQuestion 2
With a 1 unit change in b, what is the change in x in the solution of the system of equations x + y = 2, 1.01x + 0.99y = b?
Question 3
In Newton Raphson method algorithm for finding the Cube root of N is
Question 4
Match List-I with List-II
List-I (Method)
(a) Simposn’s Rule
(b) Runge Kutta
(c) Regular Falsi
(d) Crout’s Triangularisation
List-II (Purpose)
1) Ordinary differential equation
2) System of linear equation
3) Root finding
4) Integration
Question 5
The Newton-Raphson iteration xn + 1 = xn (N – log xn) can compute
Question 6
The value of 
by using Trapezoidal rule is:
by using Trapezoidal rule is: Question 7
From the following table area bounded by the curve and the x-axis from x = 7.47 to x = 7.52 is:
Question 8
Find the first order approximation of cube root of 21 using the Newton’s formula using x0 = 3
Question 9
In which case Newton Raphson method will fall
Question 10
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 _________.
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Apr 13ESE & GATE CE
