F = k( q₁q₂ )/r² M = moles/volume cos 2θ = cos²θ - sin²θ sin²(θ/2) = (1 - cosθ)/2 c = λf A = πab F = q(E + v × B) E = E° - (0.0591/n) log Q S_n = a(1 - rⁿ)/(1 - r) p = mv F_x + F_y(dy/dx) = 0 sin x = Σ (-1)ⁿ x⁽²ⁿ⁺¹⁾/(2n+1)! P = W/t A = Pe^rt Percent Purity = (mass of pure substance/mass of sample) × 100 f'(a) = lim_h→0 (f(a+h)-f(a))/h cos x = Σ (-1)ⁿ x⁽²ⁿ⁾/(2n)! d/dx(sin x) = cos x a_n = ar^{n - 1} (Σ a_i²)(Σ b_i²) ≥ (Σ a_ib_i)² K.E. = ½mv² T = 2π√(L/g) αβ = c/a sin²θ + cos²θ = 1 v² = u² + 2as

Equivalent Weight = Molecular Weight/n x = [-b ± √(b² - 4ac)]/(2a) lim_x→a f(x)/g(x) = lim_x→a f'(x)/g'(x) F = ma 1/f = 1/v + 1/u A = ∫_a^b f(x) dx C(n, r) = n!/(r!(n-r)!) d = |Ax₀ + By₀ + C|/√(A²+B²) ΔT_f = iK_fm A = ab sinθ π = MRT s = (a+b+c)/2, A = √(s(s-a)(s-b)(s-c)) d/dx(e^x) = e^x ∫(dx/x) = ln|x| + C m = (y₂ - y₁)/(x₂ - x₁) cos²(θ/2) = (1 + cosθ)/2 pK_a = -log K_a d = √((x₂-x₁)²+(y₂-y₁)²) F_c = mv²/r pH = -log[H⁺] P_solution = X_solvent × P^°_solvent V = IR Q = It v = u + at s = ut + ½at²

log_b a = ln a/ln b a_n = a + (n - 1)d U = mgh V = L(dI/dt) ΔG = ΔH - TΔS (f(g(x)))' = f'(g(x))⋅g'(x) (1+x)ⁿ = Σ ⁿ C _k.x^k n = c/v E = VIt e^x = Σ xⁿ/n! n = mass/M ΔT_b = iK_bm m = f'(x) S = a/(1 - r) ∫ u dv = uv - ∫ v du d/dx(cos x) = -sin x Rate = k[A]^m[B]ⁿ A = ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)| α + β = -b/a P(n, r) = n!/(n-r)! K_c = ([C]^c[D]^d)/([A]^a[B]^b) sin A + sin B = 2 sin((A+B)/2) cos((A-B)/2) P = IV Normality = Molarity × n f(x) = Σ_n=0∞ (f⁽ⁿ⁾(a)/n!)(x-a)ⁿ

V = (4/3)πr³ Φ = BA cosθ x = a sinθ S_n = (n/2)[2a + (n - 1)d] A = ½ab sin C I = ½ Σ c_i z_i² f(x) = Σ_n=0∞ (f⁽ⁿ⁾(0)/n!)xⁿ (x-h)² + (y-k)² = r² ε = -dΦ/dt λ = h/p sin 2θ = 2 sinθ cosθ (a+b)ⁿ = Σ_k=0ⁿ (nCk)a^n-kb^k E = hf d/dx(ln x) = 1/x n₁ sinθ₁ = n₂ sinθ₂ f''(x) W = Fd cosθ ln(P₂/P₁) = -ΔH_vap/R (1/T₂ - 1/T₁) e = (v₂ - v₁)/(u₁ - u₂) a_c = v²/r 2 sin A cos B = sin(A+B) + sin(A-B) y - y₁ = m(x - x₁)