Two machines are available to perform a task, each can be either in operational or nonoperational condition. Every day one of the operational machines will be used and there is a 10% chance that it will break. Assume that if a machine breaks during the day, the task fails and is not resumed until the next day. If there is a nonoperational machine at the beginning of the day there is a 60% probability that it will be repaired by the end of the day. Only one machine can be repaired in one day. Requried:
Model this system as a Markov chain: clearly describe the states and give the transition matrix.

Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1 which transformations should you perform. a) reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up. b) reflect the graph of the first function across the x-axis, translate it pi/4 units to the right, and translate it 2 units up. c) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the left, and translate it 2 units up. d) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the right, and translate it 2 units up.