Morphine, a pain-relieving drug, is administered to a patient intravenously starting at

Chapter 1, Problem 52

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Morphine, a pain-relieving drug, is administered to a patient intravenously starting at 8 am. The drug saturation curve Q = f(t) in Figure 1.86 gives the quantity, Q, of morphine in the blood t hours after 8 am. (a) Draw the drug saturation curve Q = g(t) if the IV line is started at noon instead of 8 am. (b) Is g one of the following transformations of f: vertical shift, vertical stretch, horizontal shift, horizontal stretch? If so, which? (c) Write g(t) in terms of the function f. 4 8 12 16 7.2 t (hours since 8 am) Q(mg) Figure 1.86 5

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