a_n = a + (n - 1)d pK_a = -log K_a V = IR sin 2θ = 2 sinθ cosθ (f(g(x)))' = f'(g(x))⋅g'(x) sin²θ + cos²θ = 1 cos²(θ/2) = (1 + cosθ)/2 ΔT_f = iK_fm x = a sinθ E = E° - (0.0591/n) log Q cos 2θ = cos²θ - sin²θ F_c = mv²/r 2 sin A cos B = sin(A+B) + sin(A-B) E = VIt (1+x)ⁿ = Σ ⁿ C _k.x^k n = mass/M d/dx(cos x) = -sin x A = ∫_a^b f(x) dx Normality = Molarity × n ∫(dx/x) = ln|x| + C m = (y₂ - y₁)/(x₂ - x₁) K.E. = ½mv² d/dx(e^x) = e^x e^x = Σ xⁿ/n! A = Pe^rt

λ = h/p ΔT_b = iK_bm A = πab lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) p = mv ΔG = ΔH - TΔS Percent Purity = (mass of pure substance/mass of sample) × 100 d/dx(sin x) = cos x ε = -dΦ/dt E = hf P = W/t v = u + at f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ P_solution = X_solvent × P^°_solvent v² = u² + 2as 1/f = 1/v + 1/u f'(a) = lim_h→0 (f(a+h)-f(a))/h M = moles/volume n₁ sinθ₁ = n₂ sinθ₂ S_n = a(1 - rⁿ)/(1 - r) W = Fd cosθ sin²(θ/2) = (1 - cosθ)/2 ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) s = ut + ½at² A = ab sinθ

C(n, r) = n!/(r!(n-r)!) d/dx(ln x) = 1/x Rate = k[A]^m[B]ⁿ f''(x) s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) d = |Ax₀ + By₀ + C|/√(A²+B²) π = MRT V = (4/3)πr³ P(n, r) = n!/(n-r)! F = q(E + v × B) y - y₁ = m(x - x₁) f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ K_c = ([C]^c[D]^d)/([A]^a[B]^b) P = IV U = mgh c = λf Q = It F = k( q₁q₂ )/r² a_n = ar^{n - 1} e = (v₂ - v₁)/(u₁ - u₂) F_x + F_y(dy/dx) = 0 ∫ u dv = uv - ∫ v du a_c = v²/r m = f'(x) (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k

d = √((x₂-x₁)²+(y₂-y₁)²) log_b a = ln a/ln b cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! Equivalent Weight = Molecular Weight/n (x-h)² + (y-k)² = r² S_n = (n/2)[2a + (n - 1)d] x = [-b ± √(b² - 4ac)]/(2a) V = L(dI/dt) αβ = c/a I = ½ Σ c_i z_i² A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| F = ma S = a/(1 - r) α + β = -b/a T = 2π√(L/g) A = ½ab sin C sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! Φ = BA cosθ sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) pH = -log[H⁺] (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² n = c/v