[Q1] For the floating ball problem shown in the Figure below; Water The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. The equation that gives the depth x in meters to which the ball is submerged under water is given by x'-0.165x +3.993 x10 = 0 Let us assume the initial guess of the root of f (x) = 0 is Xo = 0.50. Use the Newton- Raphson method of finding roots of equations to find a) the depth x to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. b) the absolute relative approximate error at the end of each iteration,

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