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WorksheetsNumerical Methods II Odd 2021-2022
Total questions: 10
Worksheet time: 19mins
False Position method is used to solve
quadratic equations
system of linear equations
eigen value problems
nonlinear equations
Regula Falsi method is also known as ------
Interval halving method
Bolzano's method
Method of False Position
Newton method
The iteration formula for Newton-Raphson method is
xn+1=xn+f′(xn)f(xn)
xn+1=xn−f′(xn)f(xn)
xn+1=xn−f(xn)f′(xn)
xn+1=xn+f(xn)f′(xn)
The following graphs show the situations where Newton-Raphson method may not work, except
What line is used to find the next iteration in Newton-Raphson method?
Secant
Normal
Chord
Tangent
In Newton-Raphson method, if we want to give our answer correct to 3 decimal places then we need to use how many decimal places in the calculation of the iterations?
3 decimal places
2 decimal places
4 decimal places
any number of decimal places will do
If we want to give answer correct to 3 significant figures in the Newton-Raphson method, what the the stopping criteria?
when two successive iterations give the same answers correct to 4 significant figures.
when two successive iterations give the same answers correct to 2 significant figures.
when two successive iterations give the same answers correct to 3 significant figures.
when two successive iterations give the same answers correct to 1 significant figures.
Given that the equation 2x3−4x2−1=0 has a root in the interval [2, 3]. Using Newton-Raphson method, the root correct to 2 decimal places is
2.13
2.11
2.09
2.15
Which of the following iteration formula can not be derived from x2−6x+2=0
x=6x2+2
x=6x−2
x=6−x2
x=3(x−2)
A theorem that guaranteed that there is at least a root in the interval is
Rolle's Theorem
Extreme Value Theorem
Intermediate Value Theorem
