Good Ol' Seagulls and Clams - Creating an equation based on data

  • Thread starter Thread starter soccergirl14
  • Start date Start date
  • Tags Tags
    Data
AI Thread Summary
The discussion revolves around analyzing data on seagulls dropping clams to determine the relationship between drop height and the number of drops required to break the clam. An equation, y = 1/(0.045x) + 1, was derived for the last six data points, indicating a horizontal asymptote at 1 and a vertical asymptote at 0. The challenge lies in creating a piecewise function that connects the initial data point with the subsequent points effectively. Participants are focused on clarifying the problem being solved and how to integrate the first data point into the overall equation. The conversation highlights the complexities of modeling this biological phenomenon mathematically.
soccergirl14
Messages
11
Reaction score
0
So pretty much, I was given data (see below) about seagulls dropping clams and the number of drops required to break the clam.

Height of drops (x)/number of drops (y)
1.7 / 42
2 / 21
2.9 / 10.3
4.1 / 6.8
5.6 /5.1
6.3 / 4.8
7 /4.4
8 /4.1
10 /3.7
13.9 /3.2



So for the last six points I created the equation y= 1/ (0.045x) +1 which showed there was a horizontal asymptote of 1 (because you can't have less than one drop), a vertical asymptote of 0 (because you can't drop the clam from a distance from less than zero), and no x-intercepts. I'm trying to create a piece wise function, but I'm having trouble getting the first point to relate to the other points in an equation.
 
Physics news on Phys.org
What problem exactly are you trying to solve?
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Making the denominator of a certain fraction real'

Essentially I just have this problem that I'm stuck on, on a sheet about complex numbers: Show that, for ##|r|<1,## $$1+r\cos(x)+r^2\cos(2x)+r^3\cos(3x)...=\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}$$ My first thought was to express it as a geometric series, where the real part of the sum of the series would be the series you see above: $$1+re^{ix}+r^2e^{2ix}+r^3e^{3ix}...$$ The sum of this series is just: $$\frac{(re^{ix})^n-1}{re^{ix} - 1}$$ I'm having some trouble trying to figure out what to...
View full post »

Similar threads

How Can You Efficiently Remove Multiple Rows from a List by ID?
Replies
1
Views
2K
Studying Skipping Chapters in Stewart’s Calculus? (Pearson's Edexcel IAL Background)
Replies
2
Views
192
  • Poll Poll
Recommendation of a good systematic particle physics book
Replies
3
Views
3K
  • Poll Poll
Relativity Spacetime and Geometry: An Introduction to General Relativity by Sean M. Carroll
Replies
5
Views
13K
Python What is the Position of Two Colliding Balls in a 2D Box after 10 Seconds?
Replies
41
Views
5K
Courses Required Pre-Calc knowledge for a Calculus course?
Replies
6
Views
6K
  • Poll Poll
Astrophysics Physics Of Space Plasmas: An Introduction, 2nd Ed, by George Parks
Replies
1
Views
5K
Algebra 2 Topics for Not-So-Strong Math Students?
Replies
11
Views
32K
  • Poll Poll
Advanced Engineering Electromagnetics by Constantine A. Balanis
Replies
1
Views
6K
  • Poll Poll
Microwave Engineering by David Pozar
Replies
3
Views
7K

Hot Threads

Recent Insights

Back
Top