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Suppose that a population of bacteria grows at a rate after t days is given by p^'(t)= 1000/sqrt t for t≥ 1. When t= 1, the population is 40,000. Find the population function p(t)= at time t

Suppose that a population of bacteria grows at a rate after t days is given by p^'(t)= 1000/sqrt t for t≥ 1. When t= 1, the population is 40,000. Find the population function p(t)= at time t

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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9:08 < Notes Done Suppose that a population of bacteria grows at a rate after t days is given by p^'(t)= 1000/sqrt t for t≥ 1. When t= 1, the population is 40,000. Find the population function p(t)= at time t Aa O 2 3 4 5 6 7 8 9 0 1 : ; $ & @ I ! 1 #+= ABC I ( LO ( ) ? space e X return
Transcribed Image Text:9:08 < Notes Done Suppose that a population of bacteria grows at a rate after t days is given by p^'(t)= 1000/sqrt t for t≥ 1. When t= 1, the population is 40,000. Find the population function p(t)= at time t Aa O 2 3 4 5 6 7 8 9 0 1 : ; $ & @ I ! 1 #+= ABC I ( LO ( ) ? space e X return
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