Using the phase plane program, plot the phase plane for the Lotka-Volterra model:
x' = (a – by)x
у' = (сх – d)у
Here x(t) represents the population of a prey species, say mice, and y(t) is the population of a predator species, for example, owls. If there are no owls, then the population of mice grows exponentially, and if there are no mice, then the owls die off. However, if the initial populations are both positive, then interesting stuff happens.
Plot the phase plane including a number of solutions of this system with a = b = c = d =1. You decide what is are good limits for your axes. Describe the solutions in a few words.
Do you think that this model gives realistic behavior?

Write the command that can be used to answer the following questions. (hint: try each out on the system to check your results.) a. find all files on the system that have the word test" as part of their filename. b. search the path variable for the pathname to the awk command. c. find all files in the /usr directory and subdirectories that are larger than 50 kilobytes in size. d. find all files in the /usr directory and subdirectories that are less than 70 kilobytes in size. e. find all files in the / directory and subdirectories that are symbolic links. f. find all files in the /var directory and subdirectories that were accessed less than 60 minutes ago. g. find all files in the /var directory and subdirectories that were accessed less than six days ago. h. find all files in the /home directory and subdirectories that are empty. i. find all files in the /etc directory and subdirectories that are owned by the group bin."

Match the following. 1. formatting that is applied when cell data meets certain criteria 2. borders with formats not found on the border tool 3. a shortcut bar that contains tools for commonly used formats 4. formats that can be applied to numbers conditional formatting custom borders format bar number formats

How is a wan different than a lan? both connect computers, but only wan users don’t need the same operating system. both are peer-to-peer networks, but only a wan requires networking hardware. both network computers, but only a wan can cover larger geographical ranges. both connect computers to the internet, but only wan connects to the cloud.