Chapter 3.8, Problem 5E
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Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
BuyFindarrow_forward
Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem
The table gives estimates of the world population, in millions, from 1750 to 2000.
(a) Use the exponential model and the population figures for 1750 and 800 to predict the world population in 1900 and 1950. Compare with the actual figures.
(b) Use the exponential model and the population figures for 1850 and 1900 to predict the world population in 1950. Compare with the actual population.
(c) Use the exponential model and the population figures for 1900 and 1950 to predict the world population in 2000. Compare with the actual population and try to explain the discrepancy.
(a)
To determine
To compare: The population figures for 1750 and 1800 to predict the world population in 1900 and 1950.
Explanation
Calculation:
The exponential model is
Let t is the number years and
From given table,
In 1750, the value of
In 1800, the value of
Substitute
Take natural logarithm on both sides,
(b)
To determine
To compare: The population figures for 1850 and 1900 to predict the world population in 1950.
(c)
To determine
To compare: The population figures for 1900 and 1950 to predict the world population in 2000.
Chapter 3 Solutions
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Problems 31 through 36 refer to right triangle ABC with C=90. If a=2 and c=6, find b.
Trigonometry (MindTap Course List)
True or False Label each of the following statements as either true or false. 5. Let be a set of integers clos...
Elements Of Modern Algebra
Subtract: (5)(9)
Elementary Technical Mathematics
Is the circumcenter always located in the interior of the triangle?
Elementary Geometry For College Students, 7e
EXPLORING CONCEPTS Choosing a Method In Exercises 43 and 44, state the method of integration you would use to f...
Calculus of a Single Variable
Choosing a Formula In Exercises 5-14, selectthe basic integration formula you can use to find the indefinite in...
Calculus: Early Transcendental Functions (MindTap Course List)
Determine whether the series converges or diverges. 5. n=1n+1nn
Single Variable Calculus: Early Transcendentals
A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. Wit...
Elementary Geometry for College Students
A two-person, zero-sum game is defined by the matrix. A=[231123342] a. Show that the game is strictly determine...
Finite Mathematics for the Managerial, Life, and Social Sciences
The equation of the plane through ⟨−7, 2, 3⟩ with normal vector ⟨6, −4, 1⟩ is: 6x − 4y + z = −47 6x − 4y + z = ...
Study Guide for Stewart's Multivariable Calculus, 8th
Think About ItIn Exercises 3134, determine whether there is a relative maximum, a relative minimum, a saddle po...
Multivariable Calculus
For , an upper bound estimate for s − s6 (where s6 is the sixth the series does not converge
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Read the settings of these metric vernier micrometer scales graduated in 0.002 mm. In each case the arrow shows...
Mathematics For Machine Technology
Applications Solve each problem. Medical plans A college provides its employees with a choice of the two medica...
College Algebra (MindTap Course List)
Example 9.3 gave the following airborne times (in minutes) for 10 randomly selected flights from San Francisco ...
Introduction To Statistics And Data Analysis
Finding a Derivative In Exercises 55-66, find the derivative of the function. f(x)=(s21)5/2(s2+5)
Calculus (MindTap Course List)
A researcher finds that college students are more anxious near final exams in December than at the beginning of...
Research Methods for the Behavioral Sciences (MindTap Course List)
For each of the following scenarios, identify which research strategy is used: descriptive, correlational, expe...
Research Methods for the Behavioral Sciences (MindTap Course List)
Young Professional Magazine Young Professional magazine was developed for a target audience of recent college g...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Consider the following time series. a. Construct a time series plot. What type of pattern exists in the data? b...
Statistics for Business & Economics, Revised (MindTap Course List)
