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3 votes
2 answers
127 views

How are the functions determined for real-world applications (business, population models, etc.) of calculus?

The following problem has been taken from Paul's Online Notes: "We need to enclose a rectangular field with a fence. We have 500 feet of fencing material and a building is on one side of the ...
mrwillparker's user avatar
1 vote
2 answers
56 views

How to use the properties of the logarithmic function

I'm coding the game asteroids. I want to make a levels manager who can create a infinity number of level increasing in difficulty. My levels have as parameters : The number of asteroids on the board;...
hlapointe's user avatar
  • 1,620
0 votes
1 answer
266 views

An $\Bbb{R}\to\Bbb{R}$ function with two plateaus of different heights and a valley

I am looking for a $\Bbb{R}\to\Bbb{R}$ function $f$ with two plateaus of different heights and a valley. The function has a minimum for $x=a$ and $f(a)=b$. The first (the one for smaller $x$) ...
Alessandro Jacopson's user avatar
1 vote
2 answers
1k views

What is the simplest $\Bbb{R}\to\Bbb{R}$ function with two peaks and a valley?

What is the simplest $\Bbb{R}\to\Bbb{R}$ function with two peaks and a valley? I have a set of points in $\Bbb{R^2}$ and I would like to fit a curve to the points, the points approximately lie on a ...
Alessandro Jacopson's user avatar