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(b) A virus is believed to be spreading through a sheep farm according to that equation N = 450 1 -) where \1+249e-0.1t N is 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.

(b) A virus is believed to be spreading through a sheep farm according to that equation N = 450 1 -) where \1+249e-0.1t N is 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 ( where \1+249e-0.1t 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. Problem 4 (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip? (b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner. (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must hy agreement, contain a rectangular border of uniform width and must be exactly
Transcribed Image Text:(b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 ( where \1+249e-0.1t 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. Problem 4 (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip? (b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner. (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must hy agreement, contain a rectangular border of uniform width and must be exactly
Problem 4 (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip? (b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner. (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area. (i) How wide should the border be? Round to the nearest tenth of a metre. (ii) If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satify both the client and the planning regulators? END OF ASSIGNMENT
Transcribed Image Text:Problem 4 (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip? (b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner. (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area. (i) How wide should the border be? Round to the nearest tenth of a metre. (ii) If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satify both the client and the planning regulators? END OF ASSIGNMENT
Expert Solution
Step 1

A virus is believed to be spreading 

N=45011+249e-0.1t

(i) The number of sheep are infected at t=0

N=45011+249    =450250     =1.8≈2 

so, Approximately 2 sheep infected at t=0.

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