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75. CAS Antibiotic Levels A study shows that the concentration C(t) (in micrograms per milliliter) of antibiotic in a patient's blood serum after t hours is C (t) = 120(e-0.21 – e-bt), where b > 1 is a constant that depends on the particular combination of antibiotic agents used. Solve numerically for the value of b (to two decimal places) for which maximum concentration occurs at f = 1 h. You may assume that the maximum occurs at a critical point as suggested by Figure 19. C (meg/mL) 100+ 80- 60- 40- 20- -t(h) 12 2. 6. 8. 10 120(e-0.21 -e-bt) with b chosen so that the maximum occurs at f = 1 h. FIGURE 19 Graph of C(t)

75. CAS Antibiotic Levels A study shows that the concentration C(t) (in micrograms per milliliter) of antibiotic in a patient's blood serum after t hours is C (t) = 120(e-0.21 – e-bt), where b > 1 is a constant that depends on the particular combination of antibiotic agents used. Solve numerically for the value of b (to two decimal places) for which maximum concentration occurs at f = 1 h. You may assume that the maximum occurs at a critical point as suggested by Figure 19. C (meg/mL) 100+ 80- 60- 40- 20- -t(h) 12 2. 6. 8. 10 120(e-0.21 -e-bt) with b chosen so that the maximum occurs at f = 1 h. FIGURE 19 Graph of C(t)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
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75. CAS Antibiotic Levels A study shows that the concentration C(t) (in micrograms per milliliter) of antibiotic in a patient's blood serum after t hours is C (t) = 120(e-0.21 – e-bt), where b > 1 is a constant that depends on the particular combination of antibiotic agents used. Solve numerically for the value of b (to two decimal places) for which maximum concentration occurs at f = 1 h. You may assume that the maximum occurs at a critical point as suggested by Figure 19. C (meg/mL) 100+ 80- 60- 40- 20- -t(h) 12 2. 6. 8. 10 120(e-0.21 -e-bt) with b chosen so that the maximum occurs at f = 1 h. FIGURE 19 Graph of C(t)
Transcribed Image Text:75. CAS Antibiotic Levels A study shows that the concentration C(t) (in micrograms per milliliter) of antibiotic in a patient's blood serum after t hours is C (t) = 120(e-0.21 – e-bt), where b > 1 is a constant that depends on the particular combination of antibiotic agents used. Solve numerically for the value of b (to two decimal places) for which maximum concentration occurs at f = 1 h. You may assume that the maximum occurs at a critical point as suggested by Figure 19. C (meg/mL) 100+ 80- 60- 40- 20- -t(h) 12 2. 6. 8. 10 120(e-0.21 -e-bt) with b chosen so that the maximum occurs at f = 1 h. FIGURE 19 Graph of C(t)
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