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 the disease is approximated by P(t)= 201¹ - 1000 -for Osts 20. 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?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6. Epidemiologists have found a new communicable disease running rampant in a city. They estimate that t days after the disease is first I pin the community the percent p of the population infected by the disease is approximately by p(t)=20t^3 - t^4 / 1000 for 0 < t< 20. A. WhT percent of the population is infected by the fifth day? B. at what rate if the population being infected on the fifth day? C. After how many days is the percent of the population infected at it’s maximum?
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Transcribed Image Text:0 H ! 1 Part B: Application Q A 50 FI 72 @ 2 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. 8 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 the disease is approximated by P(t)=- W 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? S F2 X # 3 20 (G E F3 D $ 4 C 000 888 FA F4 R 4 F % 5 V smileldcsbon-my.sharepoint.com F5 T G 20-t 1000 a> G MacBook Air 6 B - for 0 sts 20. Fó Y & 7 H F7 U N * 00 DIL ► 11 8 J FB - ►► M I 9 T FS K O ) < H 0 L F10 4) P O F11 : 88 1 { ; Task OneDrive all $12 + 11 ? ?
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