e^x = Σ xⁿ/n! y - y₁ = m(x - x₁) Percent Purity = (mass of pure substance/mass of sample) × 100 cos 2θ = cos²θ - sin²θ P = W/t ΔT_f = iK_fm V = L(dI/dt) e = (v₂ - v₁)/(u₁ - u₂) pK_a = -log K_a S_n = a(1 - rⁿ)/(1 - r) ∫ u dv = uv - ∫ v du sin 2θ = 2 sinθ cosθ f''(x) F_c = mv²/r n = mass/M x = [-b ± √(b² - 4ac)]/(2a) ΔG = ΔH - TΔS α + β = -b/a E = VIt cos²(θ/2) = (1 + cosθ)/2 V = IR F = ma P_solution = X_solvent × P^°_solvent log_b a = ln a/ln b A = πab

(Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² A = ½ab sin C sin²θ + cos²θ = 1 sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! Q = It x = a sinθ c = λf M = moles/volume d/dx(sin x) = cos x n = c/v v = u + at I = ½ Σ c_i z_i² E = hf ΔT_b = iK_bm C(n, r) = n!/(r!(n-r)!) W = Fd cosθ U = mgh A = ∫_a^b f(x) dx λ = h/p Normality = Molarity × n (f(g(x)))' = f'(g(x))⋅g'(x) 1/f = 1/v + 1/u pH = -log[H⁺] f'(a) = lim_h→0 (f(a+h)-f(a))/h ε = -dΦ/dt

π = MRT d/dx(e^x) = e^x cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! Φ = BA cosθ (x-h)² + (y-k)² = r² d/dx(cos x) = -sin x Equivalent Weight = Molecular Weight/n sin²(θ/2) = (1 - cosθ)/2 K_c = ([C]^c[D]^d)/([A]^a[B]^b) a_n = a + (n - 1)d lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) P = IV V = (4/3)πr³ S_n = (n/2)[2a + (n - 1)d] p = mv 2 sin A cos B = sin(A+B) + sin(A-B) F_x + F_y(dy/dx) = 0 a_c = v²/r P(n, r) = n!/(n-r)! d = |Ax₀ + By₀ + C|/√(A²+B²) A = ab sinθ S = a/(1 - r) (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k K.E. = ½mv²

v² = u² + 2as n₁ sinθ₁ = n₂ sinθ₂ s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) E = E° - (0.0591/n) log Q (1+x)ⁿ = Σ ⁿ C _k.x^k A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| F = k( q₁q₂ )/r² d/dx(ln x) = 1/x s = ut + ½at² A = Pe^rt d = √((x₂-x₁)²+(y₂-y₁)²) F = q(E + v × B) m = (y₂ - y₁)/(x₂ - x₁) ∫(dx/x) = ln|x| + C f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ a_n = ar^{n - 1} αβ = c/a ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) T = 2π√(L/g) f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ Rate = k[A]^m[B]ⁿ m = f'(x)