Question

2.2 Attempt any two parts of the following. (a) Find an interval of unit length which contains the smallest positive root of equation $x^3 - 3x - 1 = 0$. Take the end points of this interval as initial approximation and perform four iteration of Regula falsi method. (b) Find an interval of unit length which contains the smallest negative root in magnitude of the equation $2x^3 + 3x^2 + 2x + 5 = 0$. Using the end points of this interval as initial approximation, perform five iteration of the Bisection method. (c) Find an interval of unit length which contain the smallest positive root of the equation $e^x - 2x^2 = 0$. Taking the mid-point of this interval as initial approximation, perform four iteration of Newton-Raphson Method.

          2.2
Attempt any two parts of the following.
(a) Find an interval of unit length which contains the smallest positive root of
equation $x^3 - 3x - 1 = 0$. Take the end points of this interval as initial
approximation and perform four iteration of Regula falsi method.
(b) Find an interval of unit length which contains the smallest negative root in
magnitude of the equation $2x^3 + 3x^2 + 2x + 5 = 0$. Using the end points of
this interval as initial approximation, perform five iteration of the Bisection
method.
(c) Find an interval of unit length which contain the smallest positive root of the
equation $e^x - 2x^2 = 0$. Taking the mid-point of this interval as initial
approximation, perform four iteration of Newton-Raphson Method.

2.2
Attempt any two parts of the following.
(a) Find an interval of unit length which contains the smallest positive root of
equation x^3 - 3x - 1 = 0. Take the end points of this interval as initial
approximation and perform four iteration of Regula falsi method.
(b) Find an interval of unit length which contains the smallest negative root in
magnitude of the equation 2x^3 + 3x^2 + 2x + 5 = 0. Using the end points of
this interval as initial approximation, perform five iteration of the Bisection
method.
(c) Find an interval of unit length which contain the smallest positive root of the
equation e^x - 2x^2 = 0. Taking the mid-point of this interval as initial
approximation, perform four iteration of Newton-Raphson Method.

Added by Richard C.

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