\[ a^2 + b^2 = c^2 \] \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] \[ A = \pi r^2 \] \[ C = 2\pi r \] \[ P = \frac{F}{A} \] \[ E = mc^2 \] \[ \text{Promedio} = \frac{x_1 + x_2 + \cdots + x_n}{n} \] \[ V = l \cdot w \cdot h \] \[ \text{Área del triángulo} = \frac{b \cdot h}{2} \] \[ S = d \cdot t \] \[ \text{Interés simple} = P \cdot r \cdot t \] \[ \text{Varianza} = \frac{1}{n} \sum_{i=1}^{n} (x_i - \bar{x})^2 \] \[ \text{Desviación estándar} = \sqrt{\text{Varianza}} \] \[ \sin^2 \theta + \cos^2 \theta = 1 \] \[ \tan \theta = \frac{\sin \theta}{\cos \theta} \] \[ \log_b x = y \iff b^y = x \] \[ a_n = a_1 + (n - 1)d \] \[ S_n = \frac{n}{2}(a_1 + a_n) \] \[ A = P\left(1 + \frac{r}{n}\right)^{nt} \] \[ \nabla \cdot \vec{E} = \frac{\rho}{\varepsilon_0} \] \[ \frac{dy}{dx} = f'(x) \] \[ \int x^n \,dx = \frac{x^{n+1}}{n+1} + C \] \[ \lim_{x \to 0} \frac{\sin x}{x} = 1 \] \[ e^{i\pi} + 1 = 0 \] \[ \binom{n}{k} = \frac{n!}{k!(n-k)!} \]

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