100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
APM1514 Assignment 4 2024 - DUE 10 June 2024 R48,27   Add to cart

Exam (elaborations)

APM1514 Assignment 4 2024 - DUE 10 June 2024

 11 views  0 purchase

APM1514 Assignment 4 2024 - DUE 10 June 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... Question 1: 8 Marks Suppose that the population of South Africa was approximately 60, 04 million at the begin...

[Show more]

Preview 3 out of 20  pages

  • June 3, 2024
  • 20
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers
book image

Book Title:

Author(s):

  • Edition:
  • ISBN:
  • Edition:
All documents for this subject (4)
avatar-seller
LIBRARYpro
APM1514
ASSIGNMENT 4 2024
UNIQUE NO.
DUE DATE: 10 JUNE 2024

, APM1514/101/0/2024




Mathematical Modelling

APM1514

Year module

Department of Mathematical Sciences


Problems: Assignment 4




BAR CODE




university
Learn without limits.
Open Rubric of south africa

, ASSIGNMENT 04
Due date: Monday, 10 June 2024
Total Marks: 100


ONLY FOR YEAR MODULE

This assignment covers study units 5 & 6 in the study guide



Question 1: 8 Marks

Suppose that the population of South Africa was approximately 60, 04 million at the beginning of year 2021,
and that it follows the Malthusian model approximately, with a growth rate of 1.24 percent per year.

(1.1) When will the population reach 70 million, if the growth rate does not change? (4)

(1.2) What does the model predict the population of South Africa to be in the year 2050? (4)


Question 2: 14 Marks


(2.1) Given H = 2 mg/ml, L = 0.5 mg/ml, and k = 0.02 h − 1 , suppose concentrations below L (7)
are not only ineffective but also harmful. Determine a scheme for administering this drug (in
terms of concentration and times of dosage).

(2.2) Suppose that k = 0.3hr − 1 and that the smallest effective concentration is 0.04 mg/ml. A (7)
single dose that produces a concentration of 0.1 mg/ml is administered. Approximately how
many hours will the drug effective?


Question 3: 10 Marks

The populations of Country R and Country U both grow according to the Malthusian model, Country R with
a doubling time 100 years and Country U with a doubling time 120 years. If the sizes of the populations
were the same in year 2000, what was the ratio of the population of Country U to the population of Country
R in 1900? What will the ratio be in 2100?


Question 4: 12 Marks

Which of the following statements are true, and which are false? You must be able to justify your answers!

(4.1) The more there is of a radioactive substance, the greater its rate of decay is. (4)

(4.2) If the growth constants of two Malthusian populations A and B are kA and kB , and if kA = (4)
2 ∗kB , then after 10 years the population A is two times larger than the population B.


30

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying this summary from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller LIBRARYpro. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy this summary for R48,27. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

82871 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy summaries for 14 years now

Start selling
R48,27
  • (0)
  Buy now