Example 3: Root locus for a third order system G(s)H(s) = „For a (s+1)(s+3)(s+6) closed loop system ,use matlab to find the range of k that keep the system is stable, plot the step response to test your answer?

Determine the strongest asymptotic relation between the functions f(n)= 2log and g(n)-(logn), i.e., whether f(n) = o(g(n)), f(n) = O(g(n)), f(n) = (g(n)), f(n) = w(g(n)), or f(n) = (g(n)).

Please write a formal solution. Use math, do not use words only.

The topic is on math logic Let M1 be a Kripke model with W = {wO, w1} and R = {{wo, w1}}. Moreover, suppose l(o, A) = 0 and I(wi, A) = 1. In this model, DA → A is not valid in wo. In other words, V(wO, DA → A) = 0. Exercise. Please prove this fact. (Note: this means DA → A is not true in a non-reflexive frame)