Suppose a population P(t) satisfies dP/dt = 0.4P - 0.001P 2 P(0) = 50 where t is

Question:

Suppose a population P(t) satisfies dP/dt = 0.4P - 0.001P² P(0) = 50 where t is measured in years.
(a) What is the carrying capacity?
(b) What is P'(0)?
(c) When will the population reach 50% of the carrying capacity?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Apr 13, 2019 11:58 AM

See More Questions

The differential equation dP/dt = (k cos t)P, where k is a positive constant, is a mathematical model for a population P(t) that undergoes yearly seasonal fluctuations. Solve the equation subject to...
A population is modeled by the differential equation dP/dt = 1.2P(1 - P/4200) (a) For what values of P is the population increasing? (b) For what values of P is the population decreasing?
Suppose that a population develops according to the logistic equation dP/dt = 0.05P - 0.0005P2 where t is measured in weeks. (a) What is the carrying capacity? What is the value of?
Compute the determinant below. 14 8 8 8 51 1000 8 7 3 0 0 0 8 8 8 8 8 2
What is the degree of un-saturation in cyclobutane? (a) Zero (b) One (c) Two (d) Three
The adjusted trial balance of Sergio Mendez, Attorney-at-Law, as of November 30, 20X1, after the company had completed the first month of operations, appears below. Appropriate adjustments have been...
Estate planning is becoming more important to many individuals. Identify several goals of estate planning. AppendixLO1
Rebecca holds 100 shares of Gotchas stock that she purchased for $1,000 several years ago. In a merger of Gotchas into Solis, Inc., Rebecca exchanges her 100 Gotchas shares for 1,000 Solis shares and...
You have just been hired as a financial analyst for Lydex Company, a manufacturer of safety helmets. Your boss has asked you to perform a comprehensive analysis of the companys financial statements,...
1. Volkswagens annual report explains that, The Volkswagen Group consists of two divisions: the Automotive Division and the Financial Services Division. The Automotive Division comprises the...
A population grows according to the given logistic equation, where t is measured in weeks. (a) What is the carrying capacity? What is the value of k? (b) Write the solution of the equation. (c) What...
The population of the world was about 6.1 billion in 2000. Birth rates around that time ranged from 35 to 40 million per year and death rates ranged from 15 to 20 million per year. Lets assume that...
List factors, other than globalization, that affect the location decision.
FA II: Assignment 1 - COGS & Bank Reconciliation 1. The following data pertains to Home Office Company for the year ended December 31, 2020: Sales (25% were cash sales) during the year Cost of goods...
Bramble Stores accepts both its own and national credit cards. During the year, the following selected summary transactions occurred. Jan. 15 20 Feb. 10 15 Made Bramble credit card sales totaling...
11. Korina Company manufactures products S and T from a joint process. The sales value at split-off was P50000 for 6,000 units of Product S and P25,000 for 2,000 units of Product T. Assuming that the...
Karak Company produces Product (A) for only domestic distribution since year 2017. In 2019, a similar product to Karak Company has come onto the market by another competitor. Karak Company is keen to...
1. Purchase equipment in exchange for cash of $20,400. 2. Provide services to customers and receive cash of $4,900. 3. Pay the current month's rent of $1,000. 4. Purchase office supplies on account...
For the following exercises, write the equation for the hyperbola in standard form if it is not already, and identify the vertices and foci, and write equations of asymptotes. (x-1)(y-2) = 1 9 16
(8%) Problem 6: A student attaches a f= 3.5 kHz oscillator to one end of a metal rail of length L = 25 m. The student turns on the oscillator and uses a piezoelectric gauge at the other end to...
Use a graphing device to find the values of x for which e x > 1000,000.
Sketch the graphs of the following functions. (a) y = sin 2x (b) y = 1 sin x
Figure 9 shows graphs of the number of hours of daylight as functions of the time of the year at several latitudes. Given that Philadelphia is located at approximately 40N latitude, find a function...
Palisade Creek Co. is a merchandising business that uses the perpetual inventory system. The account balances for Palisade Creek Co. as of May 1, 2019 (unless otherwise indicated), are as follows:...
1-When accounting for an acquisition, goodwill is the difference between what two things? 2- What factors should be considered when deciding whether an acquisition should be financed with cash or...
What is the main friction Fluidity aims to address? REAL STATE

Suppose a population P(t) satisfies dP/dt = 0.4P - 0.001P 2 P(0) = 50 where t is

Question:

Step by Step Answer:

dPdt 04P 0001P 2 Thus by Equation 4 K ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions