Pringles chips form a hyperbolic paraboloid: z = x²/a² − y²/b² where x²/a² + y²/b² < 1.
The surface rises parabolically along one axis and falls along the other, producing a saddle that contains two continuous families of straight lines.
Those linear generators give the thin wafer high resistance to bending forces.
Packaging lines use the identical geometry so successive chips interlock in a rigid stack that survives the axial compression inside a sealed cylindrical can from factory to shelf.
The Gaussian integral I = ∫_{-∞}^∞ e^{-x²} dx is evaluated by squaring it to obtain the double integral ∬ e^{-(x²+y²)} dx dy.
In polar coordinates the Jacobian r and substitution u = r² reduce it to I² = π, hence I = √π. The derivation is accompanied by a 3D plot of the symmetric Gaussian surface e^{-(x²+y²)} with its cross sections e^{-x²} and e^{-y²}.
This exact result normalizes the standard normal distribution, which is used to model and calculate probabilities for real data like experimental measurement errors in physics.
@josephdantasx Cálculo Vol. 2 - George B. Thomas
Conhece? Nao to sabendo estudar Cálculo 2, achei o Guidorizzi desfocado.
Algebra Linear, to vendo a playlist do Possani
WhatsApp Web (Browser) >> WhatsApp Web (software)
Como é horrível esse Software do WhatsApp, puta que pariu. Fizeram com o cu essa desgraça. Empresa bilionária com um .exe horrível desses, vá a merda.