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A population of viruses is increasing at a constant relative growth rate in the bloodstream of its host. After three days the population increases from 290 to 1720. (a) Write a model for the virus population after t days. (Round the relative growth rate to four decimal places.) A(t) = (b) According to the model, how many viruses will be present after one week? (Round your answer to the nearest whole number.) viruses (c) At what rate is the virus population increasing after one week? (Round your answer to four decimal places.) viruses per day

A population of viruses is increasing at a constant relative growth rate in the bloodstream of its host. After three days the population increases from 290 to 1720. (a) Write a model for the virus population after t days. (Round the relative growth rate to four decimal places.) A(t) = (b) According to the model, how many viruses will be present after one week? (Round your answer to the nearest whole number.) viruses (c) At what rate is the virus population increasing after one week? (Round your answer to four decimal places.) viruses per day

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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A population of viruses is increasing at a constant relative growth rate in the bloodstream of its host. After three days the population increases from 290 to 1720. (a) Write a model for the virus population after t days. (Round the relative growth rate to four decimal places.) A(t) = (b) According to the model, how many viruses will be present after one week? (Round your answer to the nearest whole number.) viruses (c) At what rate is the virus population increasing after one week? (Round your answer to four decimal places.) viruses per day
Transcribed Image Text:A population of viruses is increasing at a constant relative growth rate in the bloodstream of its host. After three days the population increases from 290 to 1720. (a) Write a model for the virus population after t days. (Round the relative growth rate to four decimal places.) A(t) = (b) According to the model, how many viruses will be present after one week? (Round your answer to the nearest whole number.) viruses (c) At what rate is the virus population increasing after one week? (Round your answer to four decimal places.) viruses per day
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