(b) A virus is believed to be spreading through a sheep farm according to that equationN = 450 249-0) whereNis the number of sheep infected and t is the number of days.(i) How many sheep are infected at t = 0?(ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30,50, 70, 100 days)(iii) Will all the sheep become infected eventually? Give reasons to support your answer. (a) If Daniella opens a mutual fund account with a deposit of $15,000 and it promises topay an annual interest rate of r%, compounded on a monthly basis.(i) Derive a function B, which shows the balance on Daniella's account the end of 6 years.(ii) Make a comparison of the rates of change in B with resect to the interest rate when r is8%, 10% and 12%.

(b). (i) The given equation is Nt=45011+249e-0.1t. Substitute t=0 in Nt=45011+249e-0.1t.…

(b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 (+ 249-ar) where N is the number of sheep infected and t is the number of days. (1) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30,50, 70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer.

(b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 (+ 249-ar) where N is the number of sheep infected and t is the number of days. (1) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30,50, 70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

(b) A virus is believed to be spreading through a sheep farm according to that equation
N = 450 249-0) where
Nis the number of sheep infected and t is the number of days.
(i) How many sheep are infected at t = 0?
(ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30,50, 70, 100 days)
(iii) Will all the sheep become infected eventually? Give reasons to support your answer.

(a) If Daniella opens a mutual fund account with a deposit of $15,000 and it promises to
pay an annual interest rate of r%, compounded on a monthly basis.
(i) Derive a function B, which shows the balance on Daniella's account the end of 6 years.
(ii) Make a comparison of the rates of change in B with resect to the interest rate when r is
8%, 10% and 12%.

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