Suppose that we are asked to find the area (A) between the curves    and   on the interval . The curve y1 is largest on the leftmost (first) subinterval used to compute the area? (True/False)

Suppose that we are asked to find the area (A) between the curves    and   on the interval . What is an exact expression for the area A?

In a hair salon, there are 2 hairdressers and there is no waiting space. Customer arrivals follow a Poisson process of rate 2 per hour. The service time follows exponential distributions with mean 15 minutes. The 2 hairdressers are equally skilled.  Below is the rate transition diagram where each state is defined as the number of customers in the salon.   In the rate diagram, the value of transition rates are  A = [a] per hour; B = [b] per hour; C = [c] per hour; and  D = [d] per hour.    

Mr. Burkah had a left TTA yesterday following a motor vehicle accident (MVA). He is single, works as an accountant, and lives alone in a ground floor apartment. He does not demonstrate any signs of infection, and his residual limb appears to have no vascular compromise. He did experience a TBI from the MVA, and the medical team is addressing his diminished cognitive status. He follows simple commands and is not compulsive. His past medical history is insignificant. 1) Name two possible dressings you feel could be used for Mr. Burkah’s residual limb at this time (1/2 point each for a total of 1 point)):1a)1b) 2) Of the two dressings you mentioned above (1a and 1b), which one do you think would be the best choice for Mr. Burkah and why? (2 points)

Suppose that we are asked to find the area (A) between the curves    and   on the interval . What are the intersection points of these two curves on the interval? There are four possible points listed. If you do not need all of them enter “none” (without quotes) in the last boxes you do not need below. Make sure you enter the intersection points from smallest to largest. [intpt1] [intpt2] [intpt3] [intpt4] Hints:  The following identity holds for all x:   To enter the substitution , you should type “3 (x+1)^2 + atan(pi x)” (without the quotes).

A continuous-time Markov chain has state space S ={0,1,2,} and the following generator matrix 

Suppose that we are asked to evaluate the following indefinite integral: .   If we set and , then what is an expression for I as a function of only u and v (NOT x)?  Hints: Recall the list of trig identities you memorized and try to apply more than one of them if you need to use more than one.  We have the following identity for all real x: .

To handle Type B jobs, processor 3 is purchased. Then type B arrivals are sent to processor 3 with probability 0.4 (and to processor 2 with probability 0.6). What is the expected interarrival time in minutes between Type B arrivals to processor 3? 

What device did Dr Greenberg (and others) mention that is used to measure density (or stiffness) of a material?

Based upon the Physical Stress Theory (PST), what are the two primary questions to ask in evaluation and treatment? (1 point each for a total of 2 points)