Graphing and Harvesting Functions
Not what you're looking for?
See the attached file.
Harvesting:
x = a1*x - a2*x^2 - h a1 > 0, a2 > 0, h>0
1. |x| = tons and |x| = tons/years
What are the dimensions of a1, a2, and h?
(see attached file for more details)
2. Use the quadratic formula to show that the phase diagrams (x vs. x)have no intercepts:
(see attached file for more details)
3. If h < a1^2/(4a2) , x vs. x will have 2 intercepts, what are the signs ( + or - )?
4. Plot x* vs. x for h = a1^2/(4*a2) , h < a1^2/(4*a2) , h > a1^2/(4*a2)
(see attached file for more details)
5. Normalize and non-dimensionalize the harvesting equation using the variable
transformation:
(see attached file for more details)
6. If h < a1^2/(4*a2), what is the magnitude for h*? What is the equilibrium value for x*?
7. How do the values in number 6 relate to the h = a1^2/4*a2 phase diagram?
Purchase this Solution
Solution Summary
The solution discusses graphing and harvesting functions.
Solution Preview
See attachments.
The solution is attached below in two files. the files are identical in content, only differ in format. The ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.