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Part C: Thinking 8. A can for vegetables is to have a volume of 350 mL. The material for the top costs twice the cost of the sides and the bottom costs three times the costs of the sides. "Note: 1 mL = 1 cm³ a) Determine the dimensions of the can that minimize the cost of the materials b) What is the minimum cost of the materials?

Part C: Thinking 8. A can for vegetables is to have a volume of 350 mL. The material for the top costs twice the cost of the sides and the bottom costs three times the costs of the sides. "Note: 1 mL = 1 cm³ a) Determine the dimensions of the can that minimize the cost of the materials b) What is the minimum cost of the materials?

Advanced Engineering Mathematics
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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9:46 Part B: Application smileldcsbon-my.sharepoint.com ED Info T KI 5. A company wants to manufacture cylindrical aluminium cans with a volume of 1000 cm³. Determine the radius and height of the can that will minimize the amount of aluminium used. Decimals to one decimal place are permitted. the disease is approximated by P(t) = 6. Epidemiologists have found a new communicable disease running rampant in a city. They estimate that t days after the disease is first observed in the community, the percent, P, of the population infected by -for Osts 20. 201³-1¹ 1000 a) What percent of the population is infected by the fifth day? b) At what rate is the population being infected on the fifth day? c) After how many days is the percent of the population infected at its maximum? LTE O 7. The displacement of an object in motion is described by s(r)-5-Int, where sis measured in metres and it is measured in seconds. a) Find the average velocity from 20 to 40 seconds. b) Find the instantaneous velocity at 1 minute. c) Find the acceleration at 1 minute. Part C: Thinking 8. A can for vegetables is to have a volume of 350 mL. The material for the top costs twice the cost of the sides and the bottom costs three times the costs of the sides. *Note: 1 mL = 1 cm³ a) Determine the dimensions of the can that minimize the cost of the materials b) What is the minimum cost of the materials? 9. A water bottle rolls off a rooftop patio from a height of 80 m. The distance, s in metres, of the bottle above ground after t seconds is modelled by the function s(t)=80-4.91². a) Determine the velocity of the bottle at 3 seconds. b) Determine the velocity of the bottle when it hits the ground. c) Determine the acceleration of the bottle when it hits the ground. X + :) : ...
Transcribed Image Text:9:46 Part B: Application smileldcsbon-my.sharepoint.com ED Info T KI 5. A company wants to manufacture cylindrical aluminium cans with a volume of 1000 cm³. Determine the radius and height of the can that will minimize the amount of aluminium used. Decimals to one decimal place are permitted. the disease is approximated by P(t) = 6. Epidemiologists have found a new communicable disease running rampant in a city. They estimate that t days after the disease is first observed in the community, the percent, P, of the population infected by -for Osts 20. 201³-1¹ 1000 a) What percent of the population is infected by the fifth day? b) At what rate is the population being infected on the fifth day? c) After how many days is the percent of the population infected at its maximum? LTE O 7. The displacement of an object in motion is described by s(r)-5-Int, where sis measured in metres and it is measured in seconds. a) Find the average velocity from 20 to 40 seconds. b) Find the instantaneous velocity at 1 minute. c) Find the acceleration at 1 minute. Part C: Thinking 8. A can for vegetables is to have a volume of 350 mL. The material for the top costs twice the cost of the sides and the bottom costs three times the costs of the sides. *Note: 1 mL = 1 cm³ a) Determine the dimensions of the can that minimize the cost of the materials b) What is the minimum cost of the materials? 9. A water bottle rolls off a rooftop patio from a height of 80 m. The distance, s in metres, of the bottle above ground after t seconds is modelled by the function s(t)=80-4.91². a) Determine the velocity of the bottle at 3 seconds. b) Determine the velocity of the bottle when it hits the ground. c) Determine the acceleration of the bottle when it hits the ground. X + :) : ...
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