Assignment:
Q1) Solve {exp(-x)}(1 + x^2) - 0.165=0
a) By use bracket root (h=3) from x_0=0, then use false position
b) By use Newton-Raphson from x_0=1 and x_0 =0 and x_0=3
Q2) Solve 0.002x^5 - x^2=120
(it is known that the root is greater than 6.0)
a) Bracket the root from x_0=6.0 with h=4.0
b) Then continue with one use of the false position method
c) Then use Newton Raphson starting from x_0=12
Provide complete and step by step solution for the question and show calculations and use formulas.