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](https://www.mywordsolution.com/CMSImages/1686_The%20fourth-degree%20polynomial1.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](https://www.mywordsolution.com/CMSImages/358_The%20fourth-degree%20polynomial.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