WorksheetsNewton Raphson Method
Total questions: 6
Worksheet time: 3mins
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.
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 are ways to verify whether there is a root in the interval [a, b] for a continuous function f(x) except
f(a) < 0 and f(b) > 0
f(a) x f(b) < 0
f(a) x f(b) > 0
The sign for f(a) and f(b) changes
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
The equation f(x) is given as x2-4=0. Considering the initial approximation at x=6 then the value of next approximation correct upto 2 decimal places is given as __________
3.33
1.33
2.33
4.33
