Examples for

Applied mathematics is the branch of mathematics devoted to utilizing and applying the results, techniques and methods of mathematics and specific subject-area expertise to understand and solve real-world problems in science, technology, business, society, engineering and industry. Wolfram|Alpha's broad base of computational knowledge and powerful mathematical algorithms allows you to apply mathematical techniques to compute, analyze and explore a variety of problems encountered in practical applications.

Find global and local extrema and stationary points of functions or impose a constraint on a function and compute the constrained extrema.

Use Wolfram|Alpha to explore discrete- and continuous-time dynamical systems and control systems.

Get information about and analysis of the risks and rewards of cooperation and conflict in a variety of mathematical games.

Use numerical analysis to compute roots of equations, to solve numerical integrals and to solve ordinary differential equations.

Ask about fractals both over real and complex domains.

Estimate the number of objects required to pack or cover another object.