Describe the step-by-step process used to determine the function.
Use the following information to complete part A: A population of fruit flies starts with 6 flies. On day 4, the population has grown to 94 fruit flies.
A. Write an exponential growth function, y = aebt, to model the growth of the fruit fly population.
1. Describe the step-by-step process used to determine the function.
2. Create a table by applying the function from part A to show the estimated population for each day from 0 to 10 days.
3. Determine the day when the population will first exceed 1,000 fruit flies by applying the function, showing all steps and calculations.
Use the following information to complete part B: The depth of water at the end of a pier varies with the tides. On a particular day, the low tides occur at 2:00 a.m. and 2:00 p.m. with a depth of 2.1 meters. The high tides occur at 8:00 a.m. and 8:00 p.m. with a depth of 6.3 meters. A large boat needs at least 4 meters of water to be safely secured at the end of the pier.
B. Develop an exact trigonometric function that models the depth of water in meters t hours after midnight.
Note: An exact function does not use decimal approximations.
1. Describe the step-by-step process used to determine the exact function from part B, including a discussion on each of the following:
- amplitude
- period
- horizontal translation
- vertical translation
2. Calculate the time to the nearest minute that the boat can first be safely secured by using the function from part B. Explain step-by-step all mathematical calculations.
Collepals.com Plagiarism Free Papers
Are you looking for custom essay writing service or even dissertation writing services? Just request for our write my paper service, and we'll match you with the best essay writer in your subject! With an exceptional team of professional academic experts in a wide range of subjects, we can guarantee you an unrivaled quality of custom-written papers.
Get ZERO PLAGIARISM, HUMAN WRITTEN ESSAYS
Why Hire Collepals.com writers to do your paper?
Quality- We are experienced and have access to ample research materials.
We write plagiarism Free Content
Confidential- We never share or sell your personal information to third parties.
Support-Chat with us today! We are always waiting to answer all your questions.
