Determine the highest root of f(x)=2x^3-11.7x^2+ 17.7x - 5 (in the domain x [2.5, 4]) and the approximate percent relative errors for your solutions, using a)-bisection method (two iterations) b) -newton-raphson method (two iterations xo=3) c)-false position method (two iterations) d)-fixed point iteration method (two iterations xo=3). hint: na make sure you develop a so ou develop a solution that converges

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj