Subject: Mathematics
Book: Maths Mastery
Newton-Raphson is an iterative method for finding roots of f(x)=0. Starting with an initial guess x₀, iterate x_{n+1}= xₙ – (f(xₙ)/f′(xₙ)). For example, to solve x²–2=0, guess x₀=1.5, evaluate f′(x)=2x. Each iteration refines the approximation to √2. Newton’s method is used extensively in engineering, computing, or advanced math for polynomial or transcendental equations. While it requires calculus knowledge, even a basic introduction helps you appreciate computational root-finding strategies in real-world scenarios, from solving circuit equations to optimizing designs.
A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
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