The rate of change of a population of bacteria in a petri-dish can be described as the difference between the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of bacteria, and if death rate= px^2, where p is a constant, answer the following questions based on the description provided. 2.A.1) Provide the differential equation related to the rate of change of bacterial population with time based on the above given information. 2.A.2) If b=1, and p=0.8, solve the differential equation stated in 2.1 using Matlab assuming there were 1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in the answer script) 2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the solution using the 'explot' command to show the population of bacteria present after 2 hours.

it is often said 1 human-year is equivalent to 7 dog-years. however, this simple conversion fails to recognize that dogs reach adulthood in their end year of life. as a result the american kennel club suggests the following to calculate a dog's age in human-years. 15 human years are equivalent to the 1st year of a dog's life. a dog's 2nd year is equivalent to 9 human years. after a dog's 2nd year each human year is approximately 5 dogs years. please answer in python coding

Consider a gas in a piston-cylinder device in which the temperature is held constant. As the volume of the device was changed, the pressure was mecas- ured. The volume and pressure values are reported in the following table: Volume, m Pressure, kPa, when I= 300 K 2494 1247 831 4 623 5 499 416 (a) Usc lincar interpolation to estimate the pressure when the volume is 3.8 m. (b) Usc cubic splinc interpolation to cstimate the pressure when the vol- ume is 3.8 m. (c) Usc lincar interpolation to cstimate the volume if the pressure is meas- ured to be 1000 kPa. (d) Usc cubic splinc interpolation to cstimate the volume if the pressure is mcasured to be 1000 kPa. 4.

In the event that you were given a known chemical for the purpose of determining the melting point, how would you be able to prove that it was not another compound with the same melting point?