Physics - Quadratic Formula ax2 + bx + = 0, c x = [b b2...

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Quadratic Formula ax 2 + bx + c = 0, x = [ - b ± b 2 - 4 ac ] / (2 a ) Logarithms and Exponentials ln( ab ) = ln( a )+ln( b ) , ln( a/b ) = ln( a ) - ln( b ) , ln( a b ) = b ln( a ) ( a b ) c = a bc Geometry Circle: circumference=2 πR , area= πR 2 Sphere: area=4 πR 2 , volume=4 πR 3 / 3 Trigonometry a A B b C sin α = A C , cos α = B C tan α = A B A B C α γ β sin α A = sin β B = sin γ C A 2 + B 2 - 2 AB cos γ = C 2 Polar Coordinates x = r cos θ, y = r sin θ , r = p x 2 + y 2 , tan θ = y/x SI Units and Constants quantity unit abbreviation Mass m kilograms kg Distance x meters m Time t seconds s Force F Newtons N=kg m/s 2 Energy E Joules J=N m Power P Watts W=J/s Pressure P Pascals Pa=N/m 2 1 lb=4.448 N, 1 hp=745.7 W, 1 liter=10 - 3 m 3 g = 9 . 81 m/s 2 , G=6 . 67 × 10 - 11 Nm 2 /kg 2 1 atm=1 . 013 × 10 5 Pa, v sound = 331 p T/ 273 m/s Calculus ( d/dx ) f ( g ) = ( df/dg )( dg/dx ) ( d/dx )( fg ) = f 0 g + fg 0 , ( d/dx )( f/g ) = ( f 0 g - fg 0 ) /g 2 ( d/dx )sin( ax ) = a cos( x
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