[David_Halliday__Rob Ert_Resnick__Jearl_W Alker-10ed.pdf

David_Halliday__Robert_Resnick__Jearl_Walker-10ed.pdf
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👤 Author: David Halliday
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Summary

se ax² + bx + c = 0, então x = (-b ± √(b² - 4ac)) / 2a. Teorema Binomial: (x + y)² = x² + 2xy + y², (x - y)² = x² - 2xy + y², (x + y)³ = x³ + 3x²y + 3xy² + y³. Produto de Vetores: u · v = |u| |v| cos(θ), onde θ é o ângulo entre os vetores. Identidades Trigonométricas: cos(a + b) = cos(a)cos(b) - sin(a)sin(b), cos(a - b) = cos(a)cos(b) + sin(a)sin(b), sin(a + b) = sin(a)cos(b) + cos(a)sin(b), sin(a - b) = sin(a)cos(b) - cos(a)sin(b). Derivadas e Integrais: dx/dx = 1, ∫x dx = (x²)/2, ∫sin(x) dx = -cos(x), ∫cos(x) dx = sin(x). Regra de Cramer: para duas equações lineares ax + by = c e dx + ey = f, as soluções são x = (ce - bf) / (ae - bd) e y = (af - cd) / (ae - bd). Prefixos do SI: yotta (Y), zetta (Z), exa (E), peta (P), tera (T), giga (G), mega (M), kilo (k), hecto (h), deka (da), deci (d), centi (c), milli (m), micro (μ), nano (n), pico (p), femto (f), atto (a), zepto (z), yocto (y).

Description

se ax² + bx + c = 0, então x = (-b ± √(b² - 4ac)) / 2a. Teorema Binomial: (x + y)² = x² + 2xy + y², (x - y)² = x² - 2xy + y², (x + y)³ = x³ + 3x²y + 3xy² + y³.

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