Consider two machines that are maintained by a single repairman. machine i functions for an exponentially distributed amount of time with rate λi before it fails. the repair times for each unit are exponential with rate μi. they are repaired in the order in which they fail. formulate a markov chain model for this situation with state space {0, 1, 2, 12, 21}. (b) suppose that λ1 = 1, μ1 = 2, λ2 = 3, μ2 = 4. find the stationary distribution.

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions