Consider the spreading of COVID19 on an isolated South African village with population size 12 000. A portion of the population travels to nearest city for work and shopping and returns to the village infected with the disease. You would like to predict the number of the people I who will have been infected by some time t (days). Consider the following model dI 0.051(12000 – I) I(0) = 10. dt (a) Solve the model for I as a function of t. (b) Determine the time T3 needed for one-third of the population to be infected.

Consider the spreading of COVID19 on an isolated South African village with population size 12 000. A portion of the population travels to nearest city for work and shopping and returns to the village infected with the disease. You would like to predict the number of the people I who will have been infected by some time t (days). Consider the following model dI 0.051(12000 – I) I(0) = 10. dt (a) Solve the model for I as a function of t. (b) Determine the time T3 needed for one-third of the population to be infected.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

k 2 -1 -4 -2 +1 1-2 Solve Matrix
Section 30 number 2
(Linear Algebra) 4. Pls help thanks
Math 102 - College Algebra (Summer 2022) Section 11 Homework: Section 6.3- Matrices and Systems of Equations Determine the order of the matrix. 5 4 What is the order of the matrix? Help me solve this View an example Get more help ▲
Subject : Linear Algebra 10. I've posted an image of the question. thank you
Negative Image The negative image of a picture interchanges black and white. The number 1 is represented by the matrix A. Determine a matrix B such that B−A represents the negative image of the picture represented by A. Evaluate B−A. A=[030030030]
MAT280 Fall2020 TakeHome 119 update - Word Riley Cyron RC Mailings Review View Help A Share Home Insert Design Layout References Let å = (first two ID digits), = (middle three ID digits), 2=| 1 (last two digits) Let i = (first three digits), v = (last four digits) 1 5 7 4 9 Let A = (place your whole ID in each row) 15 7 4 9 1 Calculations. 1. Compute (u, 3). Determine ||v||. Write the answer as a simplified square root. 3. Calculate the angle between u and v in radians. Round answer to four decimal places. 4. Construct projzv. Round each component to four decimal places. 5. Let p = 2+3x - x3. Determine the coordinate matrix of p relative to the basis B = {1,1 – x, 1 + x²,1 – x3}. 6. Construct the orthogonal complement S for S = span{u, v}. 7. Use the Gram-Schmidt Process to construct an orthonormal basis for the vector space V = span{d, b, č}. Round answers to four decimal places, where necessary. 8. Consider the basis B = {(2, -V2), (2, V2)} for R?. Define (3, z) =y,z1 +y22. %3D a)…
(Linear Algebra) 2. Pls help thanks
linear algebra
Study Time (Hours) Exam Score (Points) 0 10 2 30 4 50 6 70 8 90 100 b. Which is the dependent variable and which is the independent variable? Dependent variable: Exam score Independent variable: Study time c. Summarize the data in equation form (assuming a decrease from 4 hours of study time to 2 hours) Instructions: Enter your answers as whole numbers. )( Exam Score=