E = E° - (0.0591/n) log Q S = a/(1 - r) f'(a) = lim_h→0 (f(a+h)-f(a))/h ∫(dx/x) = ln|x| + C λ = h/p cos 2θ = cos²θ - sin²θ W = Fd cosθ Normality = Molarity × n d = √((x₂-x₁)²+(y₂-y₁)²) Equivalent Weight = Molecular Weight/n s = ut + ½at² d = |Ax₀ + By₀ + C|/√(A²+B²) A = ∫_a^b f(x) dx A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| K.E. = ½mv² Rate = k[A]^m[B]ⁿ P = IV (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² E = hf π = MRT log_b a = ln a/ln b A = ab sinθ F_x + F_y(dy/dx) = 0 cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! n = c/v

cos²(θ/2) = (1 + cosθ)/2 sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! a_c = v²/r 2 sin A cos B = sin(A+B) + sin(A-B) Q = It K_c = ([C]^c[D]^d)/([A]^a[B]^b) lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) v² = u² + 2as n₁ sinθ₁ = n₂ sinθ₂ x = [-b ± √(b² - 4ac)]/(2a) sin 2θ = 2 sinθ cosθ n = mass/M F = k( q₁q₂ )/r² c = λf f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ e = (v₂ - v₁)/(u₁ - u₂) V = L(dI/dt) m = (y₂ - y₁)/(x₂ - x₁) T = 2π√(L/g) ΔG = ΔH - TΔS d/dx(cos x) = -sin x S_n = a(1 - rⁿ)/(1 - r) f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ M = moles/volume pK_a = -log K_a

U = mgh m = f'(x) d/dx(e^x) = e^x v = u + at (1+x)ⁿ = Σ ⁿ C _k.x^k ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) p = mv e^x = Σ xⁿ/n! ∫ u dv = uv - ∫ v du s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) S_n = (n/2)[2a + (n - 1)d] (f(g(x)))' = f'(g(x))⋅g'(x) sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) d/dx(sin x) = cos x αβ = c/a V = (4/3)πr³ sin²θ + cos²θ = 1 y - y₁ = m(x - x₁) a_n = ar^{n - 1} ε = -dΦ/dt P(n, r) = n!/(n-r)! F_c = mv²/r a_n = a + (n - 1)d pH = -log[H⁺] Percent Purity = (mass of pure substance/mass of sample) × 100

V = IR x = a sinθ 1/f = 1/v + 1/u d/dx(ln x) = 1/x A = ½ab sin C I = ½ Σ c_i z_i² (x-h)² + (y-k)² = r² A = Pe^rt A = πab F = q(E + v × B) ΔT_b = iK_bm sin²(θ/2) = (1 - cosθ)/2 E = VIt F = ma P_solution = X_solvent × P^°_solvent C(n, r) = n!/(r!(n-r)!) f''(x) P = W/t ΔT_f = iK_fm α + β = -b/a Φ = BA cosθ (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k