Mathematics Homework Solutions
Problem
#11918

Exponential and Logarithmic Functions

Endangered Species:  A conservation organization releases 100 animals of an endangered species into a game preserve. The organization believes that the preserve has a carrying capacity of 1000 animals and that the growth of the herd will follow the logistic curve.

p(t)=1000/1+9e^-0.1656t
where t is measured in months

(a) Use a graphing utility to graph the function. Use the graph to determine the horizontal asymptotes and interpret the meaning of the larger asymptote in the context of the problem.
(b)Estimate the population after 5 months
(c)When will the population reach 500?


Solution Summary

Population is modeled using an exponential function. The explanation is detailed.

Solution
What is this?
By OTA - Overall OTA Rating
Departed OTA
Purchase Cost Now
$2.19 CAD (was ~$3.99)
Included in Download
  • Plain text response
  • Attached file(s):
    • Chart11918a.xls
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Exponential Order - Show that a) e^(t^2) is not of exponential order, and b) e^(t^1/2) is of exponential order
  • Exponential order - Show that equation is of exponential order and not of exponential Order. (please see attachment for details)
  • Changing equation to it's exponential form. - Change equation to its exponential form. In 1 = 0 Can you help me with this, I can't seem to find the right solution?
  • Exponential Functions and Inverses - Give an example of an exponential function. Find this exponential function's inverse which will be a logarithmic function. Plot the graph of both the functions.
  • Exponential Density Function - The exponential density f(x) is 0 for x<0, and is ex for x0. Compute E[eX].
Browse