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A) Write R₁, in closed form as a single fraction, and find R = lim R,,. 315 B) Calculate R, and R₁0 for Co = 1 mg/mL, k = 0.1h and 10 = 10h. How good an estimate of R is R₁0? C) If k = 0.01h¹ and to = 10h, find the smallest n such that R,,> (1/2) R. Use C₁ = 1 mg/mL.

A) Write R₁, in closed form as a single fraction, and find R = lim R,,. 315 B) Calculate R, and R₁0 for Co = 1 mg/mL, k = 0.1h and 10 = 10h. How good an estimate of R is R₁0? C) If k = 0.01h¹ and to = 10h, find the smallest n such that R,,> (1/2) R. Use C₁ = 1 mg/mL.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Safe and effective dosage The concentration in the blood resulting from a single dose of drug normally decreases with time as the drug is eliminated from the body. Doses may therefore need to be repeated periodically to keep the concentration from dropping below some particular level. One mode for the effect of repeated doses gives the residual concentration just before the (n+1)st dose as R₁ = Ce+Ce-2+...+ ... + Ce -nkl where C, the change in concentration achievable by a single dose (mg/mL), k = the elimination constant (h), and to time between the doses (h). = See the figure below. Concentration (mg/mL) Co 0 C₁ = Co + Coe klo C₂ R₂ R₁ = Coe-kto to Time (h) R3 C-1 R₁ 1
Transcribed Image Text:Safe and effective dosage The concentration in the blood resulting from a single dose of drug normally decreases with time as the drug is eliminated from the body. Doses may therefore need to be repeated periodically to keep the concentration from dropping below some particular level. One mode for the effect of repeated doses gives the residual concentration just before the (n+1)st dose as R₁ = Ce+Ce-2+...+ ... + Ce -nkl where C, the change in concentration achievable by a single dose (mg/mL), k = the elimination constant (h), and to time between the doses (h). = See the figure below. Concentration (mg/mL) Co 0 C₁ = Co + Coe klo C₂ R₂ R₁ = Coe-kto to Time (h) R3 C-1 R₁ 1
A) Write R₁, in closed form as a single fraction, and find R = lim R₁. 118 B) Calculate R, and R₁0 for Co = 1 mg/mL, k = 0.1h and 10 = 10h. How good an estimate of R is R₁0? C) If k = 0.01h and to = 10h, find the smallest n such that R,,> (1/2) R. Use C =1 mg/mL.
Transcribed Image Text:A) Write R₁, in closed form as a single fraction, and find R = lim R₁. 118 B) Calculate R, and R₁0 for Co = 1 mg/mL, k = 0.1h and 10 = 10h. How good an estimate of R is R₁0? C) If k = 0.01h and to = 10h, find the smallest n such that R,,> (1/2) R. Use C =1 mg/mL.
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