Question
Which numerical method is commonly used to find the
roots of nonlinear equations in statistical computing?  ÂSolution
The Newton-Raphson method is an iterative numerical technique used to find the roots of nonlinear equations. It works by approximating the solution through successive iterations, based on the function’s derivative. It is widely used due to its fast convergence properties, especially when the initial guess is close to the actual root. Simpson’s Rule : Used for numerical integration, not for finding roots. Trapezoidal Rule : Another numerical integration technique, not for root finding. Monte Carlo Simulation : Used for probabilistic modeling and statistical simulation, not root finding. Least Squares Method : A technique used to minimize the sum of squared differences, often used in regression analysis, not root finding.
In a 5-stage pipeline (Fetch, Decode, Execute, Memory, Write-back), how many instructions can be in various stages of processing at the same time?
A transformer has a primary coil with 300 turns and a secondary coil with 150 turns. If the primary voltage is 240V, calculate the secondary voltage.
Which of the following is a common problem that synchronization mechanisms address in multi-threaded or multi-process environments?
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Which of the following is not a valid keyword in C++ language?
XML is designed to ____ and ____ data)
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The best case time complexity of selection sort?
What is the space complexity of an algorithm?
Which functions are declared inside a class have to be defined separately outside the class?
