quizsoln2 - 1000 kg m 3 a v t 1 = 2 v t 3 b m t 1 =1000 v t...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Name:___________________________ Math 155 Quiz 2 5 September 2006 Instructions : This quiz is closed book and closed notes. You may use a calculator. Label your answers and show all work. 1. (5 pts) Each year, the volume (in meters cubed) of water in a pond is 3 less than 2 times its volume in the previous year. a) Write a discrete time dynamical system that represents this relationship. b) Write a discrete-time dynamical system for the mass (in kilograms) of the pond given that water has density of
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1000 kg m 3 . a) v t +1 = 2 v t- 3 b) m t +1 =1000 v t +1 m t +1 =1000 2 v t- 3 ( ) m t +1 = 2000 v t- 3000 m t +1 = 2000 m t 1000- 3000 m t +1 = 2 m t- 3000 2. (5 pts) Graph the following updating function and cobweb for three steps starting with the initial point x = 3 . Label the points on the cobweb diagram. Explain the long-term behavior of x . x t +1 = 3 x t- 5 (3,4) (4,7) (7,16) x t+1 x t x t +1 =3 x t- 5 Long-term behavior of x is that it grows without bound....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern