s = ut + ½at² A = ½ab sin C pH = -log[H⁺] sin²θ + cos²θ = 1 U = mgh a_n = a + (n - 1)d (f(g(x)))' = f'(g(x))⋅g'(x) S_n = (n/2)[2a + (n - 1)d] A = Pe^rt V = (4/3)πr³ (x-h)² + (y-k)² = r² P = W/t ΔT_f = iK_fm f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ a_c = v²/r (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² c = λf Percent Purity = (mass of pure substance/mass of sample) × 100 ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) log_b a = ln a/ln b Equivalent Weight = Molecular Weight/n Normality = Molarity × n C(n, r) = n!/(r!(n-r)!) a_n = ar^{n - 1} f'(a) = lim_h→0 (f(a+h)-f(a))/h

Rate = k[A]^m[B]ⁿ αβ = c/a e = (v₂ - v₁)/(u₁ - u₂) V = IR M = moles/volume F_x + F_y(dy/dx) = 0 m = (y₂ - y₁)/(x₂ - x₁) F = q(E + v × B) A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| d/dx(cos x) = -sin x sin 2θ = 2 sinθ cosθ I = ½ Σ c_i z_i² d = |Ax₀ + By₀ + C|/√(A²+B²) n₁ sinθ₁ = n₂ sinθ₂ n = c/v y - y₁ = m(x - x₁) p = mv lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) E = hf λ = h/p v = u + at cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! sin²(θ/2) = (1 - cosθ)/2 x = [-b ± √(b² - 4ac)]/(2a) sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2)

P = IV d/dx(ln x) = 1/x A = πab d/dx(e^x) = e^x e^x = Σ xⁿ/n! W = Fd cosθ A = ab sinθ f''(x) ΔG = ΔH - TΔS π = MRT S_n = a(1 - rⁿ)/(1 - r) α + β = -b/a F = k( q₁q₂ )/r² ΔT_b = iK_bm E = VIt ε = -dΦ/dt sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! F_c = mv²/r d/dx(sin x) = cos x A = ∫_a^b f(x) dx S = a/(1 - r) 1/f = 1/v + 1/u cos²(θ/2) = (1 + cosθ)/2 T = 2π√(L/g) K_c = ([C]^c[D]^d)/([A]^a[B]^b)

s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) d = √((x₂-x₁)²+(y₂-y₁)²) (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k v² = u² + 2as F = ma P(n, r) = n!/(n-r)! K.E. = ½mv² (1+x)ⁿ = Σ ⁿ C _k.x^k ∫ u dv = uv - ∫ v du 2 sin A cos B = sin(A+B) + sin(A-B) pK_a = -log K_a f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ P_solution = X_solvent × P^°_solvent Q = It cos 2θ = cos²θ - sin²θ E = E° - (0.0591/n) log Q x = a sinθ n = mass/M Φ = BA cosθ ∫(dx/x) = ln|x| + C V = L(dI/dt) m = f'(x)