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Vector Operations Calculator Magnitude |v| = √(x²+y²+z²) | Dot Product a·b Vector A (x, y, z): Vector B (x, y,

Fraction Simplifier Reduce fractions using GCD (greatest common divisor) Numerator:Denominator:Simplify Result Original: Simplified: GCD =

Logarithm Calculator Find log_b(x) | Change of base: log_b(x) = ln(x)/ln(b) Number x:Base b:Base 10 (common log)Base e (natural log)Base

Exponential Growth & Decay A(t) = A₀ × b^t | Doubling time, Half-life Initial Amount A₀:Growth Factor b (e.g., 2

Permutation Calculator nPr = n! / (n-r)! | Order matters n (total items):r (items to arrange):Calculate nPr Result P(n,r) =

Binomial Coefficient Calculator nCr = n! / (r!(n-r)!) n (total items):r (items to choose):Calculate nCr Result C(n,r) = C(,) =

Unit Circle Trigonometric Values sin(θ), cos(θ), tan(θ) at standard angles Angle θ (degrees):0°30° (π/6)45° (π/4)60° (π/3)90° (π/2)180° (π)270° (3π/2)360° (2π)Get

Slope of Tangent Line m = f'(x) = lim[h→0] (f(x+h) – f(x))/h Function f(x):x^2Point x =Calculate Slope Result At x

Modular Arithmetic Calculator Find a mod n (remainder when a is divided by n) Number a:Divisor n:Calculate Result ÷ Quotient

Interest Comparison Tool Simple: A = P(1+rt) | Compound: A = P(1+r/n)^(nt) Principal P (₹):Annual Rate r (%):Time t (years):Compounding