34. Radioactive Decay The half-life of a certain radioactive substance is 65 days. There are 3.5 g present initially. (a) Express the amount of substance remaining as a function of time t. (b) When will there be less than 1 g remaining? 35. Writing to Learn Without using formulas or graphs, com- pare and contrast exponential functions and linear functions.
34. Radioactive Decay The half-life of a certain radioactive substance is 65 days. There are 3.5 g present initially. (a) Express the amount of substance remaining as a function of time t. (b) When will there be less than 1 g remaining? 35. Writing to Learn Without using formulas or graphs, com- pare and contrast exponential functions and linear functions.
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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Number 34
Transcribed Image Text:of 2.75% per year.
(a) Estimate the population in 1915 and 1940.
(b) Predict when the population reached 50,000.
32. Exponential Growth The population of River City in the
year 1910 was 4200. Assume the population increased at a rate
of 2.25% per year.
(a) Estimate the population in 1930 and 1945.
(b) Predict when the population reached 20,000.
33. Radioactive Decay The half-life of a certain radioactive
substance is 14 days. There are 6.6 g present initially.
the
(a) Express the amount of substance remaining as a function
of time t.
(b) When will there be less than 1 g remaining?
34. Radioactive Decay The half-life of a certain radioactive
substance is 65 days. There are 3.5 g present initially.
(a) Express the amount of substance remaining as a function
of time t.
(b) When will there be less than 1 g remaining?
35. Writing to Learn Without using formulas or graphs, com-
pare and contrast exponential functions and linear functions.
36. Writing to Learn Without using formulas or graphs, com-
pare and contrast exponential functions and logistic functions.
37. Writing to Learn Using the population model that is
graphed in the figure, explain why the time it takes the population
to double (doubling time) is independent of the population size.
Population
300.000
250,000
200,000
150,000
100,000
50,000
y
1 2 3 4 5 6 7 8 9 10
Time
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