Chapter 4, Problem 61RE
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Calculus: Early Transcendental Fun...
7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Solutions
Chapter
Section
BuyFindarrow_forward
Calculus: Early Transcendental Fun...
7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem
Modeling Data Outlays for national defense D (in billions of dollars) for 2006 through 2014 are shown in the table, where t is the time in years, with
| T | 6 | 7 | 8 | 9 | 10 |
| D | 521.8 | 551.3 | 616.1 | 661.0 | 693.5 |
| t | 11 | 12 | 13 | 14 | |
| D | 705.6 | 677.9 | 633.4 | 603.5 |
(a) Use the regression capabilities of a graphing utility to find a model of the form
for the data.
(b) Use a graphing utility to plot the data and graph the model.
(c) For the years shown in the table, when does the model indicate that the outlay for national defense was at a
(d) For the years shown in the table, when does the model indicate that the outlay for national defense was increasing at the greatest rate?
(a)
To determine
To calculate: The fourth order polynomial model that fits the data.
Explanation
Given:
The data set where D represents the amount spent on national defence in billions of dollars and t represents the time where 6 represents 2006.
t |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
D |
521.8 |
551.3 |
616.1 |
661 |
693.5 |
705.6 |
677.9 |
633.4 |
603.5 |
Calculation:
The model can be obtained using the Ti-83 calculator. Proceed as follows:
Step 1: Press the [STAT] key and then 1...
(b)
To determine
To graph: The function and the data points on the same coordinate axes.
(c)
To determine
To calculate: The year when the national defence spending was maximum and minimum.
(d)
To determine
To calculate: The year when the national defence spending was increasing at the highest rate.
Chapter 4 Solutions
Sect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10E
Sect-4.1 P-11ESect-4.1 P-12ESect-4.1 P-13ESect-4.1 P-14ESect-4.1 P-15ESect-4.1 P-16ESect-4.1 P-17ESect-4.1 P-18ESect-4.1 P-19ESect-4.1 P-20ESect-4.1 P-21ESect-4.1 P-22ESect-4.1 P-23ESect-4.1 P-24ESect-4.1 P-25ESect-4.1 P-26ESect-4.1 P-27ESect-4.1 P-28ESect-4.1 P-29ESect-4.1 P-30ESect-4.1 P-31ESect-4.1 P-32ESect-4.1 P-33ESect-4.1 P-34ESect-4.1 P-35ESect-4.1 P-36ESect-4.1 P-37ESect-4.1 P-38ESect-4.1 P-39ESect-4.1 P-40ESect-4.1 P-41ESect-4.1 P-42ESect-4.1 P-43ESect-4.1 P-44ESect-4.1 P-45ESect-4.1 P-46ESect-4.1 P-47ESect-4.1 P-48ESect-4.1 P-49ESect-4.1 P-50ESect-4.1 P-51ESect-4.1 P-52ESect-4.1 P-53ESect-4.1 P-54ESect-4.1 P-55ESect-4.1 P-56ESect-4.1 P-57ESect-4.1 P-58ESect-4.1 P-59ESect-4.1 P-60ESect-4.1 P-61ESect-4.1 P-62ESect-4.1 P-63ESect-4.1 P-64ESect-4.1 P-65ESect-4.1 P-66ESect-4.1 P-67ESect-4.1 P-68ESect-4.1 P-69ESect-4.1 P-70ESect-4.1 P-71ESect-4.1 P-72ESect-4.1 P-73ESect-4.1 P-74ESect-4.1 P-75ESect-4.1 P-76ESect-4.1 P-77ESect-4.1 P-78ESect-4.1 P-79ESect-4.1 P-80ESect-4.1 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P-72ESect-4.4 P-73ESect-4.4 P-74ESect-4.4 P-75ESect-4.4 P-76ESect-4.4 P-77ESect-4.4 P-78ESect-4.4 P-79ESect-4.4 P-80ESect-4.4 P-81ESect-4.4 P-82ESect-4.4 P-83ESect-4.4 P-84ESect-4.4 P-85ESect-4.4 P-86ESect-4.4 P-87ESect-4.4 P-88ESect-4.4 P-89ESect-4.4 P-90ESect-4.4 P-91ESect-4.4 P-92ESect-4.4 P-93ESect-4.4 P-94ESect-4.5 P-1ESect-4.5 P-2ESect-4.5 P-3ESect-4.5 P-4ESect-4.5 P-5ESect-4.5 P-6ESect-4.5 P-7ESect-4.5 P-8ESect-4.5 P-9ESect-4.5 P-10ESect-4.5 P-11ESect-4.5 P-12ESect-4.5 P-13ESect-4.5 P-14ESect-4.5 P-15ESect-4.5 P-16ESect-4.5 P-17ESect-4.5 P-18ESect-4.5 P-19ESect-4.5 P-20ESect-4.5 P-21ESect-4.5 P-22ESect-4.5 P-23ESect-4.5 P-24ESect-4.5 P-25ESect-4.5 P-26ESect-4.5 P-27ESect-4.5 P-28ESect-4.5 P-29ESect-4.5 P-30ESect-4.5 P-31ESect-4.5 P-32ESect-4.5 P-33ESect-4.5 P-34ESect-4.5 P-35ESect-4.5 P-36ESect-4.5 P-37ESect-4.5 P-38ESect-4.5 P-39ESect-4.5 P-40ESect-4.5 P-41ESect-4.5 P-42ESect-4.5 P-43ESect-4.5 P-44ESect-4.5 P-45ESect-4.5 P-46ESect-4.5 P-47ESect-4.5 P-48ESect-4.5 P-49ESect-4.5 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P-46ESect-4.6 P-47ESect-4.6 P-48ESect-4.6 P-49ESect-4.6 P-50ESect-4.6 P-51ESect-4.6 P-52ESect-4.6 P-53ESect-4.6 P-54ESect-4.6 P-55ESect-4.6 P-56ESect-4.6 P-57ESect-4.6 P-58ESect-4.6 P-59ESect-4.6 P-60ESect-4.6 P-61ESect-4.6 P-62ESect-4.6 P-63ESect-4.6 P-64ESect-4.6 P-65ESect-4.6 P-66ESect-4.6 P-67ESect-4.6 P-68ESect-4.6 P-69ESect-4.6 P-70ESect-4.6 P-71ESect-4.6 P-72ESect-4.6 P-73ESect-4.6 P-74ESect-4.6 P-75ESect-4.6 P-76ESect-4.6 P-77ESect-4.6 P-78ESect-4.6 P-79ESect-4.6 P-80ESect-4.6 P-81ESect-4.6 P-82ESect-4.6 P-83ESect-4.6 P-84ESect-4.6 P-85ESect-4.6 P-86ESect-4.6 P-87ESect-4.6 P-88ESect-4.6 P-89ESect-4.6 P-90ESect-4.6 P-91ESect-4.6 P-92ESect-4.6 P-93ESect-4.6 P-94ESect-4.6 P-95ESect-4.6 P-96ESect-4.6 P-97ESect-4.6 P-98ESect-4.6 P-99ESect-4.6 P-100ESect-4.6 P-101ESect-4.6 P-102ESect-4.6 P-103ESect-4.6 P-104ESect-4.6 P-105ESect-4.6 P-106ESect-4.6 P-107ESect-4.6 P-108ESect-4.7 P-1ESect-4.7 P-2ESect-4.7 P-3ESect-4.7 P-4ESect-4.7 P-5ESect-4.7 P-6ESect-4.7 P-7ESect-4.7 P-8ESect-4.7 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P-46RECh-4 P-47RECh-4 P-48RECh-4 P-49RECh-4 P-50RECh-4 P-51RECh-4 P-52RECh-4 P-53RECh-4 P-54RECh-4 P-55RECh-4 P-56RECh-4 P-57RECh-4 P-58RECh-4 P-59RECh-4 P-60RECh-4 P-61RECh-4 P-62RECh-4 P-63RECh-4 P-64RECh-4 P-65RECh-4 P-66RECh-4 P-67RECh-4 P-68RECh-4 P-69RECh-4 P-70RECh-4 P-71RECh-4 P-72RECh-4 P-73RECh-4 P-74RECh-4 P-75RECh-4 P-76RECh-4 P-77RECh-4 P-78RECh-4 P-79RECh-4 P-80RECh-4 P-81RECh-4 P-82RECh-4 P-83RECh-4 P-84RECh-4 P-85RECh-4 P-86RECh-4 P-87RECh-4 P-88RECh-4 P-89RECh-4 P-90RECh-4 P-91RECh-4 P-92RECh-4 P-93RECh-4 P-94RECh-4 P-95RECh-4 P-96RECh-4 P-97RECh-4 P-98RECh-4 P-99RECh-4 P-100RECh-4 P-101RECh-4 P-102RECh-4 P-103RECh-4 P-104RECh-4 P-105RECh-4 P-106RECh-4 P-107RECh-4 P-108RECh-4 P-109RECh-4 P-1PSCh-4 P-2PSCh-4 P-3PSCh-4 P-4PSCh-4 P-5PSCh-4 P-6PSCh-4 P-7PSCh-4 P-8PSCh-4 P-9PSCh-4 P-10PSCh-4 P-11PSCh-4 P-12PSCh-4 P-13PSCh-4 P-14PSCh-4 P-15PSCh-4 P-16PSCh-4 P-17PSCh-4 P-18PSCh-4 P-19PS
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Define the concept of sampling error and explain why this phenomenon creates a problem to be addressed by infer...
Statistics for The Behavioral Sciences (MindTap Course List)
Statistical Literacy Explain the difference between a stratified sample and a cluster sample.
Understanding Basic Statistics
The graph of y=3xx2 is given. Use transformations to create a function whose graph is as shown. 6.
Single Variable Calculus
Construction Costs The length of a rectangular box is to be twice its width, and its volume is to be 30 ft3. Th...
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Simplify 3(3n1)4(2n+3)+5(4n1) by removing parentheses and combining similar terms.
Intermediate Algebra
In Problem 31-38, write the equation of each line described. 38. Shown in the graph
Mathematical Applications for the Management, Life, and Social Sciences
Alvie Singer lives at 0 in the accompanying diagram and has four friends who live at A, B, C, and D. One day Al...
Probability and Statistics for Engineering and the Sciences
By any method, determine all possible real solutions of each equation in Exercises 1330. Check your answers by ...
Finite Mathematics
Jonathan Monahan is purchasing a townhouse for $120,000. The down payment is , and the balance will be financed...
Contemporary Mathematics for Business & Consumers
True or False Label each of the following statements as either true or false. 8. Every left coset of a group i...
Elements Of Modern Algebra
In Exercises 13 to 16, determine whether the statement is true or false. -11 I
Mathematical Excursions (MindTap Course List)
In Exercises 33 to 36, the method to be used are SSS, SAS, ASA, and AAS. Given that AE and BCDC, does it follow...
Elementary Geometry For College Students, 7e
For Problems 55 through 68, find the remaining trigonometric functions of based on the given information. csc=...
Trigonometry (MindTap Course List)
Solve each equation and check: 2y+8=5y1
Elementary Technical Mathematics
Evaluate the integral. 03/2sinxdx
Single Variable Calculus: Early Transcendentals
Using Different Methods Describe two ways to show that the geometric series n=0arn,r0 converges when | r |1. Ve...
Calculus of a Single Variable
In Exercises 9 to 12, name the method that explains why DGH~DEF. See the figure in the right column. DGDE=DHDF
Elementary Geometry for College Students
JURY SELECTION In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from a grou...
Finite Mathematics for the Managerial, Life, and Social Sciences
True or False: The degree of f (x) = 4x3 + 7x6 + 1 is 7.
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Finding a Limit In Exercises 25-36, find the limit (if it exists). If the limit does not exist, explain why. li...
Multivariable Calculus
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
Define applied research and basic research and identify examples of each.
Research Methods for the Behavioral Sciences (MindTap Course List)
The accompanying data represent x = Amount of catalyst added to accelerate a chemical reaction and y = Reaction...
Introduction To Statistics And Data Analysis
Three groups of triangles are given here. Each group consists of four triangles. Within each group, name the tr...
Mathematics For Machine Technology
A sample of 426 U.S. adults age 50 and older were asked how important a variety of issues were in choosing whom...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Solve each system of equations using substitution or elimination for real values ofx andy. {1x+3y=4,2x1y=7
College Algebra (MindTap Course List)
The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on ma...
Statistics for Business & Economics, Revised (MindTap Course List)
Describe the process of counterbalancing and the benefits of using it in a within-subjects design.
Research Methods for the Behavioral Sciences (MindTap Course List)
