Choice 1:Population Model The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 4 hours it is observed that 600 bacteria are present. After 50 hours 5000 bacteria are present. what was the initial number of bacteria? 1) Give the ODE with the initial values. 2) Solve the ODE to get the particular solution that corresponds to the initial values 3) Give the initial number of bacteria.
Choice 1:Population Model The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 4 hours it is observed that 600 bacteria are present. After 50 hours 5000 bacteria are present. what was the initial number of bacteria? 1) Give the ODE with the initial values. 2) Solve the ODE to get the particular solution that corresponds to the initial values 3) Give the initial number of bacteria.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Choice 1:Population Model
The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 4 hours it
is observed that 600 bacteria are present. After 50 hours 5000 bacteria are present. what was the initial number of bacteria?
1) Give the ODE with the initial values.
2) Solve the ODE to get the particular solution that corresponds to the initial values
3) Give the initial number of bacteria.
Choice 2:Tank Mixture Model
A tank contains 100 liters of fluid in which 20 grams of salt is dissolved. Brine containing 3 gram of salt per liter is then pumped
into the tank at the rate of 2 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of
salt in the tank at time t.
1) Give the ODE with the initial value.
2) Solve the ODE to get the particular solution that corresponds to the initial value
Choice 3: Temperature Model
A thermometer reading 60 °F is placed in an oven preheated to a constant temperature. Through a glass window in the oven.
door, an observer records that the thermometer reads 140° F after 1 minute and 220° F after 2 minutes. How hot is the oven?
1) Give the ODE with the initial values.
2) Solve the ODE to get the particular solution that corresponds to the initial values
3) How hot is the oven?
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