Copy + paste this into Google. Bonus points if you graph it without any help (fat chance!). 2 + (- sqrt(1- x^2- (y- abs(x))^2))cos(30((1-x^2-(y-abs(x))^2))), x is from -1 to 1, y is from -1 to 1.5, z is from 1 to 5 Much love from me to you! <333
Biology bores me, physics is where its at ;-) I dont have my graphing calculator but is this the formula for a heart?
Why did you post this lol? Also is this an implicit two dimensional function or a three dimensional function. It's hard to tell based on the way you wrote it?
Hearts are nice - so is this: Plot this (copy and paste) parametric equation into Wolfram Alpha (Mathematica) PolarPlot[(1 + 0.9 Cos[8 t]) (1 + 0.1 Cos[24 t]) (0.9 + 0.05 Cos[200 t]) (1 + Sin[t]), {t, -Pi, Pi}]
I'm a bit rusty with my calc so I am glad to see somebody who can do that around here! I also never took calc II or III because of scheduling issues in college.
Academics is boring, life is where it's at. All jokes aside, I love watching anything to do with math physics or biology. Advanced species probably merged them into 1 study. Mandelbrot equation is interesting.
We've merged them, too. Biophysics, computational biology, Bioinformatics, mathematical biology, etc.
I'm just starting to learn calculus, and all this shit's way beyond me lol. I've always known you can write functions in 3 dimensions instead of just 2, but damn I'm still trying to master y=x.
Calculus was the first math I ever actually liked. In high school I thought math sucked (except my Algebra 2 & Trig teacher was a total hottie!). It's not nearly as difficult as people think, either. If and when ya ever take Linear Algebra, then you'll see some fine fucking mathematics! And both subjects are useful as hell in science and engineering. Btw - don't worry about the number of variables in a function. It's just more of the same. In differential calculus it gets a little more tedious since you differentiate the function with respect to each variable individually while holding the others constant. No big deal. Integral calculus can get interesting with multvariable functions. And solving partial differential equations will cause a person to go on Pirate Bay (R.I.P) and get Mathematica or Matlab or one of those packages and let it handle the tedious shit. Also, if anyone has had single variable calculus and wants get into the cool shit and learn multivariable calc, I highly recommend MIT's Open Courseware - Multivariable Calculus video lectures starring the incomparable Dennis Arnot
e<sup>i Pi</sup> + 1 = 0 isn't a function. It's an identity. There are NO independent and dependent variables that can be graphed. It's simply a surprising relationship between 5 highly unlikely constants (e, i, Pi, 1, and 0). It's actually a special case of the even more interesting where x is any specified angle in the complex plane - in Euler's equation it equals Pi radians (180 degrees). That simple looking equation involves trig functions, complex numbers with the imaginary Sqrt(-1), and the natural exponential function. You can plot the function f(x) = e<sup>ix </sup> or f(x) = Cos(x) + iSin(x) Same thing. If you copy and paste Plot[e^(i*x),xMin=-0, xMax=Pi] into Wolfram Alpha, it will plot the complex function for angular values of the independent variable x between 0 and Pi radians ( or between 0 and 180 degrees), breaking it apart into real and complex graphs. You can also plot e<sup>i*Pi</sup> and see that it just gives you a straight line across -1, just as Euler's equation would suggest. Plot[e^(i*Pi)]