Calculus with Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Lial, Greenwell & Ritchey, The Applied Calculus & Finite Math Series)
11th Edition
ISBN: 9780133886832
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 10.1, Problem 52E
(a)
To determine
The
(b)
To determine
The plot the logistic function on the same graph as the data points and also discusses how well logistic equation fit in the data.
(c)
To determine
The limiting size of the Chinese population if logistic equation function found in part (c) is accurate.
(d)
To determine
Repeat the process (a) to (c) again for India.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
show sketch
Chapter 10 Solutions
Calculus with Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Lial, Greenwell & Ritchey, The Applied Calculus & Finite Math Series)
Ch. 10.1 - Find all solutions of the differential equation .
Ch. 10.1 - Prob. 2YTCh. 10.1 - Prob. 3YTCh. 10.1 - Prob. 4YTCh. 10.1 - Prob. 1WECh. 10.1 - Prob. 2WECh. 10.1 - Prob. 3WECh. 10.1 - Prob. 4WECh. 10.1 - Prob. 5WECh. 10.1 - Find the general solution for each differential...
Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Prob. 4ECh. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Prob. 14ECh. 10.1 - Find the general solution for each differential...Ch. 10.1 - Find the general solution for each differential...Ch. 10.1 - Prob. 17ECh. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find the particular solution for each initial...Ch. 10.1 - Find all equilibrium points and determine their...Ch. 10.1 - Find all equilibrium points and determine their...Ch. 10.1 - Find all equilibrium points and determine their...Ch. 10.1 - Find all equilibrium points and determine their...Ch. 10.1 - (4)
Solve the logistic Equation (4) in this...Ch. 10.1 -
Suppose that 0 < z < 1 for all z. Solve the...Ch. 10.1 - Suppose that 0 < y0 < N. Let b = (N − y0)/y0, and...Ch. 10.1 - Suppose that 0 < N < y0. Let b = (y0 − N)/y0 and...Ch. 10.1 - Prob. 39ECh. 10.1 - Sales Decline Sales (in thousands) of a certain...Ch. 10.1 - Inflation If inflation grows continuously at a...Ch. 10.1 - Elasticity of Demand Elasticity of demand was...Ch. 10.1 - Prob. 43ECh. 10.1 - Internet Usage During the early days of the...Ch. 10.1 - Life Insurance A life insurance company invests...Ch. 10.1 - Prob. 46ECh. 10.1 - Soil Moisture The evapotranspiration index I is a...Ch. 10.1 - Prob. 48ECh. 10.1 - Dieting A person’s weight depends both on the...Ch. 10.1 - Prob. 50ECh. 10.1 - H1N1 Virus The cumulative number of deaths...Ch. 10.1 - Prob. 52ECh. 10.1 - Prob. 53ECh. 10.1 - Prob. 54ECh. 10.1 - Prob. 55ECh. 10.1 - Prob. 56ECh. 10.1 - Worker Productivity A company has found that the...Ch. 10.1 - Prob. 58ECh. 10.1 - Prob. 59ECh. 10.1 - Prob. 60ECh. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Prob. 64ECh. 10.2 - Give the general solution of
Ch. 10.2 - Prob. 2YTCh. 10.2 - Prob. 1WECh. 10.2 - Prob. 2WECh. 10.2 - Prob. 3WECh. 10.2 - Prob. 4WECh. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Find the general solution for each differential...Ch. 10.2 - Solve each differential equation, subject to the...Ch. 10.2 - Solve each differential equation, subject to the...Ch. 10.2 - Solve each differential equation, subject to the...Ch. 10.2 - Prob. 16ECh. 10.2 - Solve each differential equation, subject to the...Ch. 10.2 - Prob. 18ECh. 10.2 - Solve each differential equation, subject to the...Ch. 10.2 - Solve each differential equation, subject to the...Ch. 10.2 - Investment Carrie Mattaini is investing $2000...Ch. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Drug Use The rate of change in the concentration...Ch. 10.2 - Prob. 26ECh. 10.2 - Excitable Cells The Hodgkin-Huxley model for...Ch. 10.2 - Social Sciences
Immigration and Emigration If...Ch. 10.2 - Social Sciences
Immigration and Emigration If...Ch. 10.2 - Social Sciences
Immigration and Emigration If...Ch. 10.2 - Social Sciences
Immigration and Emigration If...Ch. 10.2 - Prob. 32ECh. 10.3 - Use Euler’s method to approximate the solution of...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Prob. 10ECh. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Use Euler’s method to approximate the indicated...Ch. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Use Euler’s method with h = 0.2 to approximate...Ch. 10.3 - Bankruptcy Suppose 125 small business firms are...Ch. 10.3 - Growth of Algae The phosphate compounds found in...Ch. 10.3 - Immigration An island is colonized by immigration...Ch. 10.3 - Insect Population A population of insects, y,...Ch. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.4 - Modify Example 1 so that the initial amount is...Ch. 10.4 - Letting p = 4, q = 1, r = 3, and s = 5 in Example...Ch. 10.4 - Suppose that an epidemic in a community of 50,000...Ch. 10.4 - Suppose that a tank initially contains 500 liters...Ch. 10.4 - Find the particular solution for each inital value...Ch. 10.4 - Find the particular solution for each inital value...Ch. 10.4 - Find the particular solution for each inital value...Ch. 10.4 - Find the particular solution for each inital value...Ch. 10.4 - Business and Economics
Continuous Deposits...Ch. 10.4 - Continuous Deposits In Exercise 1, how long will...Ch. 10.4 - Continuous Deposits To provide for a future...Ch. 10.4 - Continuous Deposits Suppose the company in...Ch. 10.4 - Continuous Deposits An investor deposits $8000...Ch. 10.4 - Predator-Prey Explain in your own words why the...Ch. 10.4 - Competing Species The system of...Ch. 10.4 - Symbiotic Species When two species, such as the...Ch. 10.4 - Spread of an Epidemic The native Hawaiians lived...Ch. 10.4 - Spread of an Epidemic In Example 3, the number of...Ch. 10.4 - Spread of an Epidemic An influenza epidemic...Ch. 10.4 - Spread of an Epidemic The Gompertz growth...Ch. 10.4 - Spread of Gonorrhea Gonorrhea is spread by sexual...Ch. 10.4 - Suppose a rumor starts among 3 people in a certain...Ch. 10.4 - A rumor spreads at a rate proportional to the...Ch. 10.4 - A news item is heard on the late news by 5 of the...Ch. 10.4 - Repeat Exercise 15 using the Gompertz growth...Ch. 10.4 - Salt Concentration A tank holds 100 gal of water...Ch. 10.4 - Solve Exercise 18 if the brine solution is...Ch. 10.4 - Solve Exercise 18 if the brine solution is...Ch. 10.4 - Solve Exercise 18 if pure water is added instead...Ch. 10.4 - Chemical in a Solution Five grams of a chemical is...Ch. 10.4 - Solve Exercise 22 if a 25% solution of the same...Ch. 10.4 - Prob. 24ECh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - Prob. 73RECh. 10 - Prob. 74RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardQuestion 1: Evaluate the following indefinite integrals. a) (5 points) sin(2x) 1 + cos² (x) dx b) (5 points) t(2t+5)³ dt c) (5 points) √ (In(v²)+1) 4 -dv ขarrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forward
- Find the indefinite integral. Check Answer: 7x 4 + 1x dxarrow_forwardHere is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
- EX-let d'be ametric on a vector space X induced from a norm hx and d defind by a Slab)= {od (a, if a = b (a,b)+is ab Show that cannot be induced froman norm on X. 2) let à be trivel metric show that I cannot be induced from an norm on X- 3) let M be closed subspace of anormed spacex Construct the space X/Mas a normed space. 4) let Mix be vector space of 2x3 matrices on R write with Prove convex set and hyper Plane of M 5) show that every a finite dimension subspace of anormed space is closed.arrow_forwardplease do #48arrow_forward43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Implicit Differentiation with Transcendental Functions; Author: Mathispower4u;https://www.youtube.com/watch?v=16WoO59R88w;License: Standard YouTube License, CC-BY
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY