You are working for 'DOWN THE TOILET COMPANY' that makes floats for ABC commodes. The floating...

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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. You are asked to find the depth to which the ball is submerged when floating in water. Water Figure 2 Floating ball problem. The equation that gives the depth x in meters to which the ball is submerged under water is given by r' -0.165x + 3.993x10 =0 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, and c) the number of significant digits at least correct at the end of each iteration. 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. You are asked to find the depth to which the ball is submerged when floating in water. Water Figure 2 Floating ball problem. The equation that gives the depth x in meters to which the ball is submerged under water is given by r' -0.165x + 3.993x10 =0 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, and c) the number of significant digits at least correct at the end of each iteration.

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