Content text David Halliday, Robert Resnick, Jearl Walker-Fundamentals of Physics Extended-Wiley (2013).pdf
Quadratic Formula If , then Binomial Theorem ... (x2 1) Products of Vectors Let u be the smaller of the two angles between and . Then axbx ayby azbz ab cos u Trigonometric Identities *See Appendix E for a more complete list. cos a cos b 2 cos 1 2(a b) cos 1 2(a b) sin a sin b 2 sin 1 2(a b) cos 1 2(a b) |a : b : | ab sin u (axby bxay )kˆ (aybz by az)iˆ (azbx bzax)jˆ i ˆ ay by az bz j ˆ ax bx az bz kˆ ax bx ay by a : b : b : a : i ˆ ax bx j ˆ ay by kˆ az bz a : b : b : a : b : a : (1 x)n 1 nx 1! n(n 1)x2 2! x b 1b2 4ac 2a ax2 bx c 0 Derivatives and Integrals Cramer’s Rule Two simultaneous equations in unknowns x and y, a1x b1y c1 and a2x b2y c2, have the solutions and y . a1 a2 c1 c2 a1 a2 b1 b2 a1c2 a2c1 a1b2 a2b1 x c1 c2 b1 b2 a1 a2 b1 b2 c1b2 c2b1 a1b2 a2b1 dx (x2 a2 )3/2 x a2 (x2 a2 )1/2 x dx (x2 a2 )3/2 1 (x2 a2 )1/2 dx 2x2 a2 ln(x 2x2 a2 ) ex dx ex d dx ex ex cos x dx sin x d dx cos x sin x sin x dx cos x d dx sin x cos x SI PREFIXES* Factor Prefix Symbol Factor Prefix Symbol 1024 yotta Y 10–1 deci d 1021 zetta Z 10–2 centi c 1018 exa E 10–3 milli m 1015 peta P 10–6 micro m 1012 tera T 10–9 nano n 109 giga G 10–12 pico p 106 mega M 10–15 femto f 103 kilo k 10–18 atto a 102 hecto h 10–21 zepto z 101 deka da 10–24 yocto y *In all cases, the first syllable is accented, as in ná-no-mé-ter. MATHEMATICAL FORMULAS*
EXTENDED FUNDAMENTALS OF PHYSICS TENTH EDITION
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