Under certain conditions, a population may exhibit a polynomial growth rate function A population of blue whales is growing according to the function Here y is the population in thousands and t is measured in years Use Eulers method with h 1 year to approximate the population in 4 years if the initial population is 15,000 dy dt y 0 02y 0 003y

Question: Under certain conditions, a population may exhibit a polynomial growth rate function. A population of blue whales is growing according to the function Here y

Under certain conditions, a population may exhibit a polynomial growth rate function. A population of blue whales is growing according to the function dy dt -y + 0.02y + 0.003y.

Here y is the population in thousands and t is measured in years. Use Euler’s method with h = 1 year to approximate the population in 4 years if the initial population is 15,000.

dy dt -y + 0.02y + 0.003y.

Step by Step Solution

★★★★★

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

There will be about 7000 whales dy d... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. (a) What is the size of the population after 15 hours? (b)...

Use the Modified Euler method to approximate the solutions to each of the following initial-value problems, and compare the results to the actual values. a. y' = te3t 2y, 0 t 1, y(0) = 0, with...

For part A, This is an example of a function definition. PLEASE DO NOT COPY AND PASTE AN ANSWER FROM ANOTHER QUESTION Function: double lettered Inputs: word, a string Preconditions: word contains...

I need help filling in an Exec Level report on a class. It is about the Airline Industry. We are focusing on buying American Airlines as if we are Delta Airlines. I just need assitance filling in the...

2:31 The Ball Watch Company... PAGES Smartwatches and Smart Wearables 3-5 The Ball Watch Company (parent company) 6 The Ball Watch Company of Canada 7-8 Key Issues and Findings 8-11 12 Required...

Demand and Supply Discussion Question: Applications-Ubereconomics Please read the article below and respond to the follow-up question: Why Uber Is an Economist's Dream Does 'surge pricing'...

Demand and Supply Discussion Question: Applications-Ubereconomics Please read the article below and respond to the follow-up question: Using Big Data to Estimate Consumer Surplus: The Case of Uber...

Hi I need this question answered. I have the SWAT analysis done so I don't need that. I need Pestle analysis, 5 force analysis or VRIO analysis done and it needs to be on this case study: IKEA's...

Please answer all questions. I need Pestle analysis, 5 force analysis or VRIO analysis done and it needs to be on this case study: IKEA's international marketing strategy in china. 4. Markets with...

Let C, represent the total cost, in dollars, of x units of a product, and R, represent the total revenue, in dollars, for the sale of x units. Then the total cost and total revenue equations for a...

You wish to perform the following reaction:

Instructions: Create a general journal, ledger, and worksheet that follow instructions ( a ) through ( h ) below. a . Enter the November 1 balances in ledger accounts. Use the T - accounts b . Enter...

Create an E-R diagram for FAME based on the enterprise data model you developed in 1-52. Clearly state any assumptions you made in developing the diagram.

Solve each equation by factoring or by using the quadratic formula. If the solutions involve square roots, give both the exact solutions and the approximate solutions to three decimal places. 12y 2 ...

Perform the indicated operations. (2m + 1)(4m 2 2m + 1)

Solve each inequality and graph the solution. m (3m 2) + 6

Anchors are ubiquitous in financial markets. Give some examples.

Statement of Cash Flows You have just been hired as a financial analyst for Basel Industries. Unfortunately, company headquarters (where all of the firm's records are kept) has been destroyed by...

Ace Industrial Machines issued 154,000 zero coupon bonds seven years ago. The bonds have a par value of $1,000 and originally had 30 years to maturity with a yield to maturity of 7.4 percent....