p = mv ΔT_f = iK_fm sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! V = IR (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k s = ut + ½at² d = |Ax₀ + By₀ + C|/√(A²+B²) A = ab sinθ (1+x)ⁿ = Σ ⁿ C _k.x^k V = L(dI/dt) d/dx(ln x) = 1/x ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) m = (y₂ - y₁)/(x₂ - x₁) 2 sin A cos B = sin(A+B) + sin(A-B) U = mgh (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² P = IV A = ½ab sin C e = (v₂ - v₁)/(u₁ - u₂) cos 2θ = cos²θ - sin²θ F_c = mv²/r I = ½ Σ c_i z_i² S_n = a(1 - rⁿ)/(1 - r) pH = -log[H⁺] F_x + F_y(dy/dx) = 0

K.E. = ½mv² λ = h/p Equivalent Weight = Molecular Weight/n cos²(θ/2) = (1 + cosθ)/2 ∫(dx/x) = ln|x| + C F = ma sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) d = √((x₂-x₁)²+(y₂-y₁)²) sin²(θ/2) = (1 - cosθ)/2 Φ = BA cosθ A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ E = E° - (0.0591/n) log Q K_c = ([C]^c[D]^d)/([A]^a[B]^b) log_b a = ln a/ln b A = πab a_c = v²/r E = VIt C(n, r) = n!/(r!(n-r)!) V = (4/3)πr³ x = [-b ± √(b² - 4ac)]/(2a) Percent Purity = (mass of pure substance/mass of sample) × 100 n = mass/M ε = -dΦ/dt A = ∫_a^b f(x) dx

sin 2θ = 2 sinθ cosθ Normality = Molarity × n d/dx(e^x) = e^x d/dx(cos x) = -sin x a_n = a + (n - 1)d αβ = c/a d/dx(sin x) = cos x ΔG = ΔH - TΔS cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! P(n, r) = n!/(n-r)! α + β = -b/a v² = u² + 2as (x-h)² + (y-k)² = r² Q = It E = hf Rate = k[A]^m[B]ⁿ P_solution = X_solvent × P^°_solvent f'(a) = lim_h→0 (f(a+h)-f(a))/h S_n = (n/2)[2a + (n - 1)d] 1/f = 1/v + 1/u T = 2π√(L/g) P = W/t sin²θ + cos²θ = 1 f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ f''(x)

F = q(E + v × B) y - y₁ = m(x - x₁) ΔT_b = iK_bm c = λf x = a sinθ n = c/v π = MRT M = moles/volume a_n = ar^{n - 1} A = Pe^rt F = k( q₁q₂ )/r² pK_a = -log K_a m = f'(x) n₁ sinθ₁ = n₂ sinθ₂ s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) S = a/(1 - r) W = Fd cosθ ∫ u dv = uv - ∫ v du lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) v = u + at e^x = Σ xⁿ/n! (f(g(x)))' = f'(g(x))⋅g'(x)