Equivalent Weight = Molecular Weight/n s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) P = IV ∫(dx/x) = ln|x| + C sin²(θ/2) = (1 - cosθ)/2 d/dx(sin x) = cos x c = λf cos²(θ/2) = (1 + cosθ)/2 S_n = (n/2)[2a + (n - 1)d] n = c/v ε = -dΦ/dt U = mgh Φ = BA cosθ cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! ∫ u dv = uv - ∫ v du P(n, r) = n!/(n-r)! T = 2π√(L/g) (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² A = ∫_a^b f(x) dx f''(x) d/dx(e^x) = e^x (1+x)ⁿ = Σ ⁿ C _k.x^k F_c = mv²/r (x-h)² + (y-k)² = r² x = a sinθ

m = f'(x) log_b a = ln a/ln b ΔG = ΔH - TΔS α + β = -b/a d/dx(cos x) = -sin x Percent Purity = (mass of pure substance/mass of sample) × 100 sin 2θ = 2 sinθ cosθ v² = u² + 2as F_x + F_y(dy/dx) = 0 x = [-b ± √(b² - 4ac)]/(2a) K.E. = ½mv² f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ λ = h/p s = ut + ½at² A = πab M = moles/volume v = u + at y - y₁ = m(x - x₁) p = mv d/dx(ln x) = 1/x pK_a = -log K_a P = W/t 1/f = 1/v + 1/u d = |Ax₀ + By₀ + C|/√(A²+B²) n = mass/M

m = (y₂ - y₁)/(x₂ - x₁) A = ½ab sin C n₁ sinθ₁ = n₂ sinθ₂ V = L(dI/dt) a_n = a + (n - 1)d S_n = a(1 - rⁿ)/(1 - r) Q = It pH = -log[H⁺] e = (v₂ - v₁)/(u₁ - u₂) F = q(E + v × B) A = Pe^rt a_n = ar^{n - 1} K_c = ([C]^c[D]^d)/([A]^a[B]^b) E = E° - (0.0591/n) log Q F = k( q₁q₂ )/r² W = Fd cosθ ΔT_f = iK_fm sin²θ + cos²θ = 1 I = ½ Σ c_i z_i² C(n, r) = n!/(r!(n-r)!) f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ d = √((x₂-x₁)²+(y₂-y₁)²) sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! P_solution = X_solvent × P^°_solvent ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁)

sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) A = ab sinθ F = ma αβ = c/a S = a/(1 - r) 2 sin A cos B = sin(A+B) + sin(A-B) lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) π = MRT cos 2θ = cos²θ - sin²θ Rate = k[A]^m[B]ⁿ Normality = Molarity × n V = (4/3)πr³ (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k ΔT_b = iK_bm A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| f'(a) = lim_h→0 (f(a+h)-f(a))/h e^x = Σ xⁿ/n! E = hf E = VIt (f(g(x)))' = f'(g(x))⋅g'(x) V = IR a_c = v²/r