Reference no: EM131482787
Biologists studying a certain population of triglobytes have observed that the popula- tion fluxuates in a cyclical pattern. The minimum population size appears to be 1200 individuals. The last time the minimum was observed was January 1st, 2014. The maximum population size appears to be 2600 individuals. The last time the maximum was observed was September 1st, 2015. The biologists assume that the population can be modeled using a sinusoidal function T(x), where T is the population size measured in hundreds of individuals and x is time measured in months since January 1st, 2014.
(a) Determine the next time the population will be at its lowest level. Determine the next time the population will be at its highest level.
(b) Find a formula for T(x).
(c) Between January 1st 2016 and January 1st 2020, how many months is the population above 1900 individuals?
(d) Algebroans are a natural predator of triglobytes. The population of algebroans fluxuates in a cyclical pattern that is correlated with the triglobyte pattern. The minimum population size for algebroans is 250 individuals and the maximum population size is 900 individuals.
The lows and highs for the algebroan population occur 3 months after the corresponding lows and highs for the triglobyte population. Find a formula for A(x), the algebroan population x months after January 1st, 2014.
(e) In the same graph, sketch the first two periods (after January 1st, 2014) of the algebroan and triglobyte populations. Make sure you label the graph clearly. Include the midline for each population and the coordinates for the relative extrema for each function.
Topic - advantages and disadvantages of cloud computing
: Write Literature Review on given topic. Topic: Advantages and Disadvantages of Cloud Computing
|
How much was he charged for each shirt
: How much was he charged for each shirt, each pair of slack, and each sports coat?
|
Do you think this will help reduce poaching
: The Black rhinoceros is extremely endangered. Its horn is considered a powerful aphrodisiac in many Asian countries, and a single horn fetches many thousands.
|
The topic is open game
: The topic is "open game," as long as it has something to do with religion in Philadelphia or the Delaware Valley, past or present, and it is approved in advance
|
Algebroan and triglobyte populations
: In the same graph, sketch the first two periods (after January 1st, 2014) of the algebroan and triglobyte populations.
|
How landscaping or fast-food franchises treat their employee
: In contrasting equity and efficiency, why do high-tech firms seem to treat their employees better (better wages, benefits, working environments, vacations.
|
What are your thoughts about racial profiling
: What are your thoughts about racial profiling.What about the concept that people from other cultures often see us differently from how we see ourselves.
|
Which additional areas would you suggest be measured why
: Are all major performance areas covered in the report? Why or why not? Which additional areas would you suggest be measured? Why?
|
List the elements of each of the following sample spaces
: 1. List the elements of each of the following sample spaces:
|