You are working for "Down the toilet Company" that makes floats for ABC commodes. The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. Find the depth to which the ball is submerged when floating in water. The equation that gives the depth x in meters to which the ball is submerged under water is given by f(x) = x³ – 0.165x² + 3.993 * 10-4 Use the Bisection and Newton's Raphson method of finding roots ofequation to find the depth of 'x’ to which the ball is submerged under water. Analyze three iterations to estimate the root of the above equation.

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A: Introduction :

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.