αβ = c/a M = moles/volume P = W/t m = (y₂ - y₁)/(x₂ - x₁) 2 sin A cos B = sin(A+B) + sin(A-B) Percent Purity = (mass of pure substance/mass of sample) × 100 sin²θ + cos²θ = 1 ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) S_n = a(1 - rⁿ)/(1 - r) V = (4/3)πr³ f'(a) = lim_h→0 (f(a+h)-f(a))/h A = Pe^rt F = q(E + v × B) Rate = k[A]^m[B]ⁿ Equivalent Weight = Molecular Weight/n V = L(dI/dt) T = 2π√(L/g) P(n, r) = n!/(n-r)! A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| d/dx(sin x) = cos x (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k a_n = ar^{n - 1} A = ab sinθ f''(x) v = u + at

F_x + F_y(dy/dx) = 0 F = ma e = (v₂ - v₁)/(u₁ - u₂) S = a/(1 - r) ∫ u dv = uv - ∫ v du K_c = ([C]^c[D]^d)/([A]^a[B]^b) ΔT_f = iK_fm Φ = BA cosθ π = MRT n₁ sinθ₁ = n₂ sinθ₂ E = hf d/dx(e^x) = e^x f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) sin²(θ/2) = (1 - cosθ)/2 C(n, r) = n!/(r!(n-r)!) 1/f = 1/v + 1/u f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ log_b a = ln a/ln b ΔT_b = iK_bm E = E° - (0.0591/n) log Q ∫(dx/x) = ln|x| + C e^x = Σ xⁿ/n! F = k( q₁q₂ )/r²

(Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² (1+x)ⁿ = Σ ⁿ C _k.x^k cos²(θ/2) = (1 + cosθ)/2 d = √((x₂-x₁)²+(y₂-y₁)²) cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! S_n = (n/2)[2a + (n - 1)d] E = VIt pK_a = -log K_a (f(g(x)))' = f'(g(x))⋅g'(x) Q = It x = [-b ± √(b² - 4ac)]/(2a) I = ½ Σ c_i z_i² P = IV K.E. = ½mv² s = ut + ½at² U = mgh V = IR d/dx(cos x) = -sin x m = f'(x) d = |Ax₀ + By₀ + C|/√(A²+B²) (x-h)² + (y-k)² = r² n = c/v A = ½ab sin C y - y₁ = m(x - x₁) v² = u² + 2as

s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) F_c = mv²/r pH = -log[H⁺] Normality = Molarity × n n = mass/M c = λf a_c = v²/r x = a sinθ P_solution = X_solvent × P^°_solvent p = mv ΔG = ΔH - TΔS λ = h/p sin 2θ = 2 sinθ cosθ A = πab A = ∫_a^b f(x) dx cos 2θ = cos²θ - sin²θ sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! α + β = -b/a a_n = a + (n - 1)d ε = -dΦ/dt W = Fd cosθ d/dx(ln x) = 1/x