Wolfram|Alpha Mathematics

Applied Mathematics

Optimization ››

minimize or maximize a function
maximize x(1-x)e^x
minimize or maximize a function of several variables
maximize 5 + 3x - 4y - x^2 + x y - y^2
minimize or maximize a function subject to a constraint
maximize e^x sin y on x^2+y^2=1

Numerical Analysis ››

find roots of an equation using Newton's method
using Newton's method solve x cos x = 0
use numerical methods to find the roots of numbers
find root of 2 with bisection method
approximate an integral using a specified numerical method
5 interval trapezoidal rule integrate sinx cosx on [0,4]

Dynamical Systems ››

analyze the logistic map
logistic map r=3.569935
analyze the Lotka–Volterra predator‐prey model
predator-prey model

Control Systems ››

analyze a transfer function model
transfer function (s^2-3)/(-s^3-s+1)
analyze a state space model
state {{0,1,0},{0,0,1},{1/5,-1,0}}, input {{0},{0},{1}}, output {{-3,0,1}}

Packing & Covering of Objects ››

estimate the number of objects required to fill a container
How many baseballs fit in a Boeing 747?
estimate the number of objects required to cover a specified area
pennies to cover 2 square miles
estimate the number of objects required to circle another object
How many grains of rice would it take to stretch around the moon?

Game Theory

get information about a mathematical game
battle of the sexes chicken game tic-tac-toe game rock-scissors-paper game