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The fourth-degree polynomial

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Reference no: EM13922

QUESTION 1

For 3x2 - ex = 0, Evaluate a function g and an interval [a; b] on which fixed-point iteration will converge to a positive solution of the equation.


QUESTION 2

Use Newton's method to solve the equation

1686_The fourth-degree polynomial1.png

with p0 = Π/2

Iterate using Newton's method until an accuracy of 10-5 is obtained.

QUESTION 3

The fourth-degree polynomial

358_The fourth-degree polynomial.png

has two real zeros, one in [-1,0] and the other in [0, 1]. Attempt to approximate these zeros to within 10 6 using the

a. Method of False Position

b. Secant method

c. Newton's method

Reference no: EM13922

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