ΔT_b = iK_bm ∫(dx/x) = ln|x| + C E = VIt v = u + at P_solution = X_solvent × P^°_solvent A = ½ab sin C P = W/t sin 2θ = 2 sinθ cosθ E = E° - (0.0591/n) log Q f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ d/dx(e^x) = e^x F = q(E + v × B) d/dx(cos x) = -sin x d = |Ax₀ + By₀ + C|/√(A²+B²) ∫ u dv = uv - ∫ v du x = a sinθ Equivalent Weight = Molecular Weight/n A = ab sinθ ε = -dΦ/dt λ = h/p (1+x)ⁿ = Σ ⁿ C _k.x^k A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| p = mv s = ut + ½at² F_c = mv²/r

f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ C(n, r) = n!/(r!(n-r)!) sin²(θ/2) = (1 - cosθ)/2 V = L(dI/dt) d = √((x₂-x₁)²+(y₂-y₁)²) sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! n₁ sinθ₁ = n₂ sinθ₂ F = k( q₁q₂ )/r² n = c/v f'(a) = lim_h→0 (f(a+h)-f(a))/h (f(g(x)))' = f'(g(x))⋅g'(x) M = moles/volume f''(x) m = (y₂ - y₁)/(x₂ - x₁) x = [-b ± √(b² - 4ac)]/(2a) v² = u² + 2as Φ = BA cosθ π = MRT log_b a = ln a/ln b K_c = ([C]^c[D]^d)/([A]^a[B]^b) A = Pe^rt V = (4/3)πr³ α + β = -b/a e^x = Σ xⁿ/n! pH = -log[H⁺]

I = ½ Σ c_i z_i² cos 2θ = cos²θ - sin²θ cos²(θ/2) = (1 + cosθ)/2 αβ = c/a Normality = Molarity × n c = λf e = (v₂ - v₁)/(u₁ - u₂) cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! pK_a = -log K_a d/dx(sin x) = cos x P = IV Rate = k[A]^m[B]ⁿ a_c = v²/r (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k ΔG = ΔH - TΔS (x-h)² + (y-k)² = r² P(n, r) = n!/(n-r)! a_n = ar^{n - 1} m = f'(x) S_n = a(1 - rⁿ)/(1 - r) sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) sin²θ + cos²θ = 1 A = πab A = ∫_a^b f(x) dx E = hf

s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) 2 sin A cos B = sin(A+B) + sin(A-B) Q = It n = mass/M U = mgh T = 2π√(L/g) 1/f = 1/v + 1/u (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² V = IR K.E. = ½mv² Percent Purity = (mass of pure substance/mass of sample) × 100 W = Fd cosθ a_n = a + (n - 1)d ΔT_f = iK_fm F = ma lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) S_n = (n/2)[2a + (n - 1)d] d/dx(ln x) = 1/x y - y₁ = m(x - x₁) F_x + F_y(dy/dx) = 0 S = a/(1 - r)