Choice 1:Population ModelThe population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 4 hours itis 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 values3) Give the initial number of bacteria.Choice 2:Tank Mixture ModelA tank contains 100 liters of fluid in which 20 grams of salt is dissolved. Brine containing 3 gram of salt per liter is then pumpedinto 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 ofsalt 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 valueChoice 3: Temperature ModelA 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 values3) How hot is the oven?MacBook Pro

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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.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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