Q1- Determine the real root of f (x) = 4x3 - 6x + 7x - 2.3: (a) Graphically. (b) Using bisection to locate the root. Employ initial guesses of X = 0 and X, = 1 and iterate until the estimated error , falls below a level of Es = 10%. Q2- The velocity v of a falling parachutist is given by V = (gm/c)(1 - e-c/m)t] where g = 9.8 m/s. For a parachutist with a drag coefficient, c = 15 kg/s, compute the mass m so that the velocity is v = 35 m/s, at t= 9 s. Use the false-position method to determine m to a level of s = 0.1%. Q3- Use (a) fixed-point iteration and (b) the Newton-Raphson method to determine a root of f(x) = -x + 1.8x + 2.5 using Xo = 5. Perform the computation until , is less than s = 0.05%. Also perform an error check of your final answer. Q4- Use Mller's method to determine the positive real root of f(x) = x + x - 4x - 4. 05- Consider the following function: f(x) = 3 + 6x + 5x + 3x2 + 4x* Locate the minimum by finding the root of the derivative of this function. Use bisection with initial guesses of x = 2 and xy = 1. Q1- Determine the real root of f (x) = 4x3 - 6x + 7x - 2.3: (a) Graphically. (b) Using bisection to locate the root. Employ initial guesses of X = 0 and X, = 1 and iterate until the estimated error , falls below a level of Es = 10%. Q2- The velocity v of a falling parachutist is given by V = (gm/c)(1 - e-c/m)t] where g = 9.8 m/s. For a parachutist with a drag coefficient, c = 15 kg/s, compute the mass m so that the velocity is v = 35 m/s, at t= 9 s. Use the false-position method to determine m to a level of s = 0.1%. Q3- Use (a) fixed-point iteration and (b) the Newton-Raphson method to determine a root of f(x) = -x + 1.8x + 2.5 using Xo = 5. Perform the computation until , is less than s = 0.05%. Also perform an error check of your final answer. Q4- Use Mller's method to determine the positive real root of f(x) = x + x - 4x - 4. 05- Consider the following function: f(x) = 3 + 6x + 5x + 3x2 + 4x* Locate the minimum by finding the root of the derivative of this function. Use bisection with initial guesses of x = 2 and xy = 1