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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
with p0 = Π/2
Iterate using Newton's method until an accuracy of 10-5 is obtained.
QUESTION 3
The fourth-degree polynomial
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
Real Life Scenarios- Systems of Linear Equations, Determine a simple real-life example scenario to solve systems of linear equations
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