Get expert insights and reliable answers to your questions on IDNLearn.com. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.
Sagot :
Using the senoidal function, it is found that:
- 1. The maximum number of rabbits on Park Point during a population cycle is of 650.
- 2. The population cycle is of 3 years.
- 3. The approximate number of rabbits on the island after 3.2 years is 205.
Senoildal function:
The function that models the population after t years is given by:
[tex]r(t) = 225\cos{\left(\frac{\pi}{3}\right)t} + 425[/tex]
Item 1:
The cosine function varies between -1 and 1, hence, considering it equals to 1:
[tex]r_{MAX} = 225 + 425 = 650[/tex]
The maximum number of rabbits on Park Point during a population cycle is of 650.
Item 2:
The period of a cosine function [tex]\cos{\frac{2\pi}{T}}[/tex] is T.
- In this problem, T = 3, hence:
The population cycle is of 3 years.
Item 3:
[tex]r(3.2) = 225\cos{\left(\frac{\pi}{3}\right)3.2} + 425 = 205[/tex]
The approximate number of rabbits on the island after 3.2 years is 205.
You can learn more about senoidal functions at https://brainly.com/question/13575593
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.
