Calculus Volume 2
17th Edition
ISBN: 9781938168062
Author: Gilbert Strang, Edwin Jed Herman
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.4, Problem 207E
Below is a table of the populations of whooping cranes in the wild from 1940 to 2000. The population rebounded from near extinction after conservation efforts began. The following problems consider applying population models to fit the data. Assume a carrying capacity of 10,000 cranes. Fit the data assuming years since 1940 (so your initial population at time 0 would be 22 cranes).
| Year (years since conservation began) | Whooping Crane Population | |
| 1940(0) | 22 | |
| 1950(10) | 31 | |
| 1960(20) | 36 | |
| 1970(30) | 57 | |
| I90(40) | 91 | |
| 1990(50) | 159 | |
| 2000(60) | 256 | |
Source: hflps:IIwww.savingcranes,o-g/imagesI soriesIsite_imagesIconservationIwtooping_crane/ pdtsThastoric__numbers.pdt
207. Using the three equations found in the previous problems, estimate the population in 2010 (year 70 after conservation). The real population measured at that time was 437. Which model is most accurate?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Answer questions 8.3.7 and 8.4.1 respectively
Don't do 14. Please solve 19
8.4.7 Use the data from Exercise 8.4.5 to compute the two-sided
Agresti-Coull CI on the proportion of digits read correctly.
Compare and discuss the relationship of this interval to the one
computed in Exercise 8.4.5.
Chapter 4 Solutions
Calculus Volume 2
Ch. 4.1 - Determine the order of the following differential...Ch. 4.1 - Determine the order of the following differential...Ch. 4.1 - Determine the order of the following differential...Ch. 4.1 - Determine the order of the following differential...Ch. 4.1 - Determine the order of the following differential...Ch. 4.1 - Determine the order of the following differential...Ch. 4.1 - Determine the order of the following differential...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...
Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify that the following functions are solutions...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - Verify the following general solutions and find...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - For the following problems, find the general...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Solve the following initial-value problems...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.1 - Recall that a family of solutions includes...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - For the following problems, use the direction...Ch. 4.2 - Draw the direction field for the following...Ch. 4.2 - Draw the direction field for the following...Ch. 4.2 - Draw the direction field for the following...Ch. 4.2 - Draw the direction field for the following...Ch. 4.2 - Draw the direction field for the following...Ch. 4.2 - Draw the directional field for the following...Ch. 4.2 - Draw the directional field for the following...Ch. 4.2 - Draw the directional field for the following...Ch. 4.2 - Draw the directional field for the following...Ch. 4.2 - Draw the directional field for the following...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Match the direction field with the given...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - WEstimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Estimate the following solutions using Euler’s...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Differential equations can be used to model...Ch. 4.2 - Consider the initial-value problem y' = 2y, y(0) =...Ch. 4.2 - Consider the initial-value problem y' = 2y, y(0) =...Ch. 4.2 - Consider the initial-value problem y' = 2y, y(0) =...Ch. 4.2 - Consider the initial-value problem y' = 2y, y(0) =...Ch. 4.2 - Consider the initial-value problem y' = 2y, y(0) =...Ch. 4.3 - Solve the following initial-value problems with...Ch. 4.3 - Solve the following initial-value problems with...Ch. 4.3 - Solve the following initial-value problems with...Ch. 4.3 - Solve the following initial-value problems with...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the general solution to the differential...Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - Find the solution to the initial-value problem....Ch. 4.3 - For the following problems, use a software program...Ch. 4.3 - For the following problems, use a software program...Ch. 4.3 - For the following problems, use a software program...Ch. 4.3 - For the following problems, use a software program...Ch. 4.3 - For the following problems, use a software program...Ch. 4.3 - Most drugs in the bloodstream decay according to...Ch. 4.3 - A drug is administered intravenously to a patient...Ch. 4.3 - [T] How often should a drug be taken if its dose...Ch. 4.3 - A tank contains 1 kilogram of salt dissolved in...Ch. 4.3 - A tank containing 10 kilograms of salt dissolved...Ch. 4.3 - [T] For the preceding problem, find flow much salt...Ch. 4.3 - Torricelli’s law states that for a water tank with...Ch. 4.3 - For the preceding problem, determine how long it...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.3 - For the following problems, use Newton’s law of...Ch. 4.4 - Student Project: Logistic Equation with a...Ch. 4.4 - Student Project: Logistic Equation with a...Ch. 4.4 - Student Project: Logistic Equation with a...Ch. 4.4 - Student Project: Logistic Equation with a...Ch. 4.4 - For the following problems, consider the logistic...Ch. 4.4 - For the following problems, consider the logistic...Ch. 4.4 - For the following problems, consider the logistic...Ch. 4.4 - For the following problems, consider the logistic...Ch. 4.4 - For the following problems, consider the logistic...Ch. 4.4 - A population of deer inside a park has a carrying...Ch. 4.4 - A population of frogs in a pond has a growth rate...Ch. 4.4 - [T] Bacteria grow at a rate of 2O per hour in a...Ch. 4.4 - [T] Rabbits in a park have an initial population...Ch. 4.4 - [T] Two monkeys are placed on an island. After 5...Ch. 4.4 - [T] A butterfly sanctuary is built that can hold...Ch. 4.4 - The following problems consider the logistic...Ch. 4.4 - The following problems consider the logistic...Ch. 4.4 - The following problems consider the logistic...Ch. 4.4 - The following problems consider the logistic...Ch. 4.4 - The following problems consider the logistic...Ch. 4.4 - It is more likely that the amount of fishing is...Ch. 4.4 - It is more likely that the amount of fishing is...Ch. 4.4 - It is more likely that the amount of fishing is...Ch. 4.4 - It is more likely that the amount of fishing is...Ch. 4.4 - It is more likely that the amount of fishing is...Ch. 4.4 - The following problems add in a minimal threshold...Ch. 4.4 - The following problems add in a minimal threshold...Ch. 4.4 - The following problems add in a minimal threshold...Ch. 4.4 - The following problems add in a minimal threshold...Ch. 4.4 - The following problems add in a minimal threshold...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - The following questions consider the Gompertz...Ch. 4.4 - Below is a table of the populations of whooping...Ch. 4.4 - Below is a table of the populations of whooping...Ch. 4.4 - Below is a table of the populations of whooping...Ch. 4.4 - Below is a table of the populations of whooping...Ch. 4.4 - Below is a table of the populations of whooping...Ch. 4.5 - Are the following differential equations linear?...Ch. 4.5 - Are the following differential equations linear?...Ch. 4.5 - Are the following differential equations linear?...Ch. 4.5 - Are the following differential equations linear?...Ch. 4.5 - Are the following differential equations linear?...Ch. 4.5 - Write the following first-order differential...Ch. 4.5 - Write the following first-order differential...Ch. 4.5 - Write the following first-order differential...Ch. 4.5 - Write the following first-order differential...Ch. 4.5 - Write the following first-order differential...Ch. 4.5 - What are the integrating factors for the following...Ch. 4.5 - What are the integrating factors for the following...Ch. 4.5 - What are the integrating factors for the following...Ch. 4.5 - What are the integrating factors for the following...Ch. 4.5 - What are the integrating factors for the following...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations by...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following differential equations. Use...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - Solve the following initial-value problems by...Ch. 4.5 - A falling object of mass m can reach terminal...Ch. 4.5 - Using your expression from the preceding problem,...Ch. 4.5 - [T] Using your equation for terminal velocity,...Ch. 4.5 - A more accurate way to describe terminal velocity...Ch. 4.5 - Using your expression from the preceding problem,...Ch. 4.5 - [T] Using your equation for terminal velocity,...Ch. 4.5 - For the following problems, determine how...Ch. 4.5 - For the following problems, determine how...Ch. 4.5 - For the following problems, determine how...Ch. 4.5 - For the following problems, determine how...Ch. 4.5 - For the following problems, determine how...Ch. 4 - True or False? Justify your answer with a proof or...Ch. 4 - True or False? Justify your answer with a proof or...Ch. 4 - True or False? Justify your answer with a proof or...Ch. 4 - True or False? Justify your answer with a proof or...Ch. 4 - For the following problems, find the general...Ch. 4 - For the following problems, find the general...Ch. 4 - For the following problems, find the general...Ch. 4 - For the following problems, find the general...Ch. 4 - For the following problems, find the general...Ch. 4 - For the following problems, find the general...Ch. 4 - For the following problems, find the solution to...Ch. 4 - For the following problems, find the solution to...Ch. 4 - For the following problems, find the solution to...Ch. 4 - For the following problems, find the solution to...Ch. 4 - For the following problems, find the solution to...Ch. 4 - For the following problems, find the solution to...Ch. 4 - For the following problems, draw the directional...Ch. 4 - For the following problems, draw the directional...Ch. 4 - For the following problems, use Euler’s Method...Ch. 4 - For the following problems, use Euler’s Method...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...Ch. 4 - For the following problems, set up and solve the...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Suppose you toss one coin three times in a row and get heads, tails, heads (HTH). If you are interested in the ...
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than does th...
A First Course in Probability (10th Edition)
Calculating derivatives Find dy/dx for the following functions. 23. y=cosxsinx+1
Calculus: Early Transcendentals (2nd Edition)
TRY IT YOURSELF 1
Find the mean of the points scored by the 51 winning teams listed on page 39.
Elementary Statistics: Picturing the World (7th Edition)
By considering different paths of approach, show that the functions in Exercises 41–48 have no limit as (x, y) ...
University Calculus: Early Transcendentals (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 8.6.5 Consider the fuel rod enrichment data described in Exercise 8.2.11. Compute a 90% prediction interval on the enrichment of the next rod tested. Compare the length of the prediction interval with the length of the 99% CI on the population mean.arrow_forward8.4.4 The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed limits from 65 mph to 75 mph. How many residents does the department need to survey if it wants to be at least 99% confident that the sample proportion is within 0.05 of the true proportion? 8.4.5 The U.S. Postal Service (USPS) has used optical character recognition (OCR) since the mid-1960s. In 1983, USPS began deploying the technology to major post offices throughout the country (www.britannica.com). Suppose that in a random sample of 500 handwritten zip code digits, 466 were read correctly. a. Construct a 95% confidence interval for the true proportion of correct digits that can be automatically read. b. What sample size is needed to reduce the margin of error to 1%? c. How would the answer to part (b) change if you had to assume that the machine read only one-half of the digits correctly?arrow_forwardAnswer questions 8S7 and 8S14arrow_forward
- Answer questions 8.2.9 and 8.2.10 respectivelyarrow_forwardAnswer questions 8.3.5 and 8.3.6 respectivelyarrow_forward8.6.4 Consider the test on the compressive strength of concrete described in Exercise 8.2.9. Compute a 90% prediction interval on the next specimen of concrete tested. 8.6.5 . SS Consider the fuel rod enrichment data described in Exercise 8.2.11. Compute a 90% prediction interval on the enrichment of the next rod tested. Compare the length of the prediction interval with the length of the 99% CI on the population mean.arrow_forward
- Answer questions 8S10 and 8S11 respectively.arrow_forward8.4.6 Information on a packet of seeds claims that 93% of them will germinate. Of the 200 seeds that were planted, only 180 germinated. a. Find a 95% confidence interval for the true proportion of seeds that germinate based on this sample. b. Does this seem to provide evidence that the claim is wrong? 8.6.1 Consider the tire-testing data described in Exercise 8.2.3. Compute a 95% prediction interval on the life of the next tire of this type tested under conditions that are similar to those employed in the original test. Compare the length of the prediction interval with the length of the 95% CI on the population mean.arrow_forwardPlease solve 14 and 15arrow_forward
- 1. Consider the following system of equations: x13x2 + 4x3 - 5x4 = 7 -2x13x2 + x3 - 6x4 = 7 x16x213x3 - 21x4 = 28 a) Solve the system. Write your solution in parametric and vector form. b) What is a geometric description of the solution. 7 c) Is v = 7 in the span of the set S= [28. 1 HE 3 -5 3 ·6 ? If it is, write v 6 as a linear combination of the vectors in S. Justify. d) How many solutions are there to the associated homogeneous system for the system above? Justify. e) Let A be the coefficient matrix from the system above. Find the set of all solutions to Ax = 0. f) Is there a solution to Ax=b for all b in R³? Justify.arrow_forwardAnswer questions 8.3.1 and 8.3.2 respectivelyarrow_forward8.2.7 The brightness of a television picture tube can be evaluated by measuring the amount of current required to achieve a particular brightness level. A sample of 10 tubes results in x = 317.2 and s = 15.7. Find (in microamps) a 99% confidence interval on mean current required. State any necessary assumptions about the underlying distribution of the data. 8.2.8 An article in the Journal of Composite Materials (December 1989, Vol. 23(12), pp. 1200–1215) describes the effect of delamination on the natural frequency of beams made from composite laminates. Five such delaminated beams were subjected to loads, and the resulting frequencies (in hertz) were as follows: 230.66, 233.05, 232.58, 229.48, 232.58 Check the assumption of normality in the population. Calculate a 90% two-sided confidence interval on mean natural frequency.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Time Series Analysis Theory & Uni-variate Forecasting Techniques; Author: Analytics University;https://www.youtube.com/watch?v=_X5q9FYLGxM;License: Standard YouTube License, CC-BY
Operations management 101: Time-series, forecasting introduction; Author: Brandoz Foltz;https://www.youtube.com/watch?v=EaqZP36ool8;License: Standard YouTube License, CC-BY