1- Consider the equation =0.
a- Use the bisection method to estimate the numerical value of the smallest positive root within a relative true error |Єt|< 1%. Employ initial guesses of xl = 0. and xu = 1.
b- Repeat part (a) using the false-position method.
c- Compare the two methods in terms of convergence.
2- Do Problem 5.12 in your textbook (but with Єs = 1%). Employ initial guesses of ml = 10 kg and mu = 100 kg for the mass of the parachutist.
3- Use “Mathematica” to find all the roots of the following equations
a- a3 –9a2 +18a –6 = 0 for a
b- ex –3x2 = 0 for x
c- a2 –b -3 = 0 & ab +2b2 -4 = 0 for a & b
4- Repeat problem 3 using “Excel”.