Critical Thinking, Communication Skills, Empirical & Quantitative Reasoning Skills

Description

1. All explanations must be typed. The supporting math work must be neat and suitable for copying or scanning. The final document should be saved and submitted as a single .pdf file or a single MS Word document. 2. Give the assignment the heading GEN ED ASSESSMENT: MATH 1314. 3. Do not include your name in the assignment or in the file name. Be sure to write your CRN and G number on every page. 4. Submit your assignment to your instructor via Blackboard by the deadline established by your instructor.   Instructions: Answer questions #1-6 in complete sentences using the graph. Answer question 7 parts b, c, and d  in complete sentences using your own mathematical evidence from part a.   When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in the bloodstream at t hours is given by the function y = f(t) shown in the graph.   1)             What is the concentration of the drug in the bloodstream at t =  8 hours?   2)             During what time interval is the drug level in the bloodstream increasing? Decreasing?   3)             When does the level of the drug in the bloodstream reach its maximum value, and what is the concentration in the bloodstream at that time?   4)             After the drug reaches its maximum level in the bloodstream, how many additional hours are required for the level to drop to 16 mg/L?   5)             As time increases, what does the graph predict about the level of the drug in the bloodstream?   6)             In 3-4 sentences, summarize what happens to the amount of drugs in the system in the first 20 hours. Use numerical findings from #1-5 to validate your statements. 7.            Suppose that another drug is administered intravenously to an adult patient in a hospital as prescribed by a doctor.  The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after administration) is modeled by the function.    a)  Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after administration at intervals of two hours.  Write the concentration accurate to two decimal places as needed.                   t 0 2 4 6 8 10 12 14 16 18 20 22 24 c(t)                                 b)  When will the concentration of the drug fall to a level of 0.5 mg/L?     c)  When must the next dose of the drug be administered to the patient in order to maintain a concentration above 1 mg/L and below 8 mg/L? Explain your reasoning.     d)  What is a reasonable domain for this function? Justify why (and if) you would exclude any values