Two similar objects are left to cool for one hour. One starts at 80oC and cools to 70oC and the other starts at 60oC and cools to 55oC. Suppose the discrete-time dynamical system for cooling objects is linear.
a. Find the discrete-time dynamical system. Find the temperature of the first object after 2 hours. Find the temperature after 1 hour of an object starting at 20oC.
b. Graph the updating function and cobweb starting from 80oC.
c. Find the equilibrium. Explain in words what the equilibrium means.