At any time t 2 0, in hours, the rate of growth of a population of bacteria is given by dy/dt = 0.5y. Initially, there are 100 bacteria. (a) Solve for y, the number of bacteria present, at any time t 2 0. y(t) = (b) Write and evaluate an expression to find the average number of bacteria in the population for 0 sts 10. (Round your final answer to two decimal places.) dt = (c) Write an expression that gives the average rate of bacteria growth over the first 10 hours of growth. Indicate units of measure. dt -Select-
At any time t 2 0, in hours, the rate of growth of a population of bacteria is given by dy/dt = 0.5y. Initially, there are 100 bacteria. (a) Solve for y, the number of bacteria present, at any time t 2 0. y(t) = (b) Write and evaluate an expression to find the average number of bacteria in the population for 0 sts 10. (Round your final answer to two decimal places.) dt = (c) Write an expression that gives the average rate of bacteria growth over the first 10 hours of growth. Indicate units of measure. dt -Select-
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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Transcribed Image Text:At any time t 2 0, in hours, the rate of growth of a population of bacteria is given by dy/dt = 0.5y. Initially, there are 100 bacteria.
(a) Solve for y, the number of bacteria present, at any time t 2 0.
y(t) =
(b) Write and evaluate an expression to find the average number of bacteria in the population for 0 sts 10. (Round your final answer to two decimal places.)
dt =
(c) Write an expression that gives the average rate of bacteria growth over the first 10 hours of growth. Indicate units of measure.
dt
--Select---
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