=Hill's equation for the oxygen saturation of blood states that the level of oxygen saturation (fraction of hemoglobin molecules that are bound to oxygen) in blood can be represented by thefollowing function, where P is the oxygen concentration around the blood (P≥0) and n is a parameter that varies between different species. Answer parts (a) through (f) below.pnf(P) =p +30(a) Assume the n=1. Show that f(P) is an increasing function of P and that f(P)-1 as P→∞o. Choose the correct answer below.OA.O B.O C.O D.If n = 1, f(P) =If n = 1, f(P) =If n = 1, f(P) =If n = 1, f(P) =Pand f'(P) =P + 30PP + 30PP + 3030(P+30)²and f'(P) = -and f'(P) = -Pand f'(P) =P + 3030(P+30)²CIThe function f(P) is an increasing function since the slope of the curve y=f(P) is always positive. As P→∞o, lim f(P) = limP→∞ P→∞060(P+30)³60(P+30)³PP+30 P→∞= limPP+30 P→∞ 1P→∞ P+30= limThe function f(P) is an increasing function since the slope of the curve y=f(P) is always negative. As P→∞o, lim f(P) = limP→∞0 P→∞0The function f(P) is an increasing function since the slope of the curve y=f(P) is always negative. As P→∞o, lim f(P) = limP→∞1P1= lim=1P→∞ P+30 P→∞PP→∞0 P+30 P001-= limThe function f(P) is an increasing function since the slope of the curve y=f(P) is always positive. As P→∞o, lim f(P) = limP→∞-=1.= 1.

Given: Hills equation for the oxygen saturation of blood: fP=PnPn+30nWhere P is the oxygen…

Hill's equation for the oxygen saturation of blood states that the level of oxygen saturation (fraction of hemoglobin molecules that are bound to oxygen) in blood can be represented by the following function, where P is the oxygen concentration around the blood (P20) and n is a parameter that varies between different species. Answer parts (a) through (f) below. pn f(P) = p +30 (a) Assume the n = 1. Show that f(P) is an increasing function of P and that f(P)-1 as P→∞o. Choose the correct answer below. О А. О в. O C. If n = 1, f(P) = If n = 1, f(P) = If n = 1, f(P) = P P+30 P P+30 P P+30 and f'(P) = 30 (P+30)² and f'(P) = - and f'(P) = - . The function f(P) is an increasing function since the slope of the curve y=f(P) is always positive. As P→∞o, lim f(P) = lim P P→∞ P+30 P→∞ 30 (P+30)² 60 (P+30)³ 1 = lim = 1. P001 P The function f(P) is an increasing function since the slope of the curve y=f(P) is always negative. As P→∞o, lim f(P) = lim P→∞ P→∞0 P+30 The function f(P) is an increasing function since the slope of the curve y=f(P) is always negative. As P→∞o, lim f(P) = lim P→∞ = lim P→∞ P P→∞ P+30 P→∞ 1 = 1. 1 = lim = 1.

Hill's equation for the oxygen saturation of blood states that the level of oxygen saturation (fraction of hemoglobin molecules that are bound to oxygen) in blood can be represented by the following function, where P is the oxygen concentration around the blood (P20) and n is a parameter that varies between different species. Answer parts (a) through (f) below. pn f(P) = p +30 (a) Assume the n = 1. Show that f(P) is an increasing function of P and that f(P)-1 as P→∞o. Choose the correct answer below. О А. О в. O C. If n = 1, f(P) = If n = 1, f(P) = If n = 1, f(P) = P P+30 P P+30 P P+30 and f'(P) = 30 (P+30)² and f'(P) = - and f'(P) = - . The function f(P) is an increasing function since the slope of the curve y=f(P) is always positive. As P→∞o, lim f(P) = lim P P→∞ P+30 P→∞ 30 (P+30)² 60 (P+30)³ 1 = lim = 1. P001 P The function f(P) is an increasing function since the slope of the curve y=f(P) is always negative. As P→∞o, lim f(P) = lim P→∞ P→∞0 P+30 The function f(P) is an increasing function since the slope of the curve y=f(P) is always negative. As P→∞o, lim f(P) = lim P→∞ = lim P→∞ P P→∞ P+30 P→∞ 1 = 1. 1 = lim = 1.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.4: Definition Of The Derivative

Problem 50E

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