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Question: Let A have the properties described in Exercise.
a. Is the origin an attractor, a repeller, or a saddle point of the dynamical system xk+1 = Axk?
b. Find the directions of greatest attraction and/or repulsion for this dynamical system.
c. Make a graphical description of the system, showing the directions of greatest attraction or repulsion. Include a rough sketch of several typical trajectories (without computing specific points).
Exercise: Let A be a 2 X 2 matrix with eigenvalues 3 and 1/3 and corresponding eigenvectors v1 = {xk} be a solution of the difference equation xk+1 = Axk, x0 =
a. Compute x1 = Ax0
b. Find a formula for xk involving k and the eigenvectors v1 and v2.
A passenger train takes 2 hours less than a freight train takes to travel from Norman to Enid. The passenger train averages 96 km/hr, while the freight train averages 64 km/hr. What is the distance from Norman to Enid?
What percentage of Americans earn below $20,000? What percenage of Americans earn above $ 43,000?
Water is pumped out of a holding tank at a rate of 6- 6e-0.10t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
You have just received $195,000 from the estate of a long-lost rich uncle. If you invest all your inheritance in a tax-free bond fund earning 6.8% compounded quarterly, how long do you have to wait to become a millionaire? (Round your answer to tw..
How fast is the volume increasing at this moment, assuming that the diameter is always equal to the height, and the height is increasing at a rate of 1cm/min
Mya is investigating the factors that impact soda consumption. She examines a host of variables that help explain the amount consumed. Which type of data mining methodology is she most likely to use
How do you plot the volume of water in the sink as a volume of water?
What annual nominal rate of interest compounded monthly has the same annual percentage yield as 3% compounded continuously? (Give a formula with numbers plugged in, then use a calculator to get a decimal approximation to 2 decimal places.)
How can you or your department decide whether or not the observed differences over time are important?
The following selections were originally submitted as letters to the editor of newspapers and magazines. Determine which of them can, with good reason, be considered arguments. In those that can, identify the conclusion.
If he does not get the pill, the probability that he will die is ?. Mr. Brown died. What is the probability that the nurse forgot to give Mr. Brown the pill?
The following arguments are deductive.- Since some fruits are green, and some fruits are apples, it follows that some fruits are green apples.
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