1) The world population from 1900 to 2010 can be modeled by P(t) = 1436 (1.014)t where t is years since 1900 and P is measured in millions. a) What was the rate of change of the world population in 1920? b) What was the rate of change of the world population in 2000? c) What was the population in 1920? d) What was the population in 2000? 2) After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function: C(t) = 8(e - e-0.6t) -0.4t where t is the time in hours since the antibiotic was taken and C is measured in mg/mL. a) What is the concentration after 1 hour? After 8 hours? b) How is the concentration changing after 2 hours? After 10 hours?

1) The world population from 1900 to 2010 can be modeled by P(t) = 1436 (1.014)t where t is years since 1900 and P is measured in millions. a) What was the rate of change of the world population in 1920? b) What was the rate of change of the world population in 2000? c) What was the population in 1920? d) What was the population in 2000? 2) After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function: C(t) = 8(e - e-0.6t) -0.4t where t is the time in hours since the antibiotic was taken and C is measured in mg/mL. a) What is the concentration after 1 hour? After 8 hours? b) How is the concentration changing after 2 hours? After 10 hours?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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