A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating ball has a specific gravity of 0.6 and a radius of 5.5 cm. You are asked to find the depth to which the ball is submerged when floating in water. The equation that gives the depth x to which the ball is submerged under water is given by f(x) = x4 – 8x³ – 35x2 + 450x – 1001 Use the fixed-point iteration method, with the pre-specified tolerance of 0% (relative percent true error of 0%) and consider the initial guess of x = 8.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A cadet engineer works in a manufacturing company that makes floats for ABC
commodes. The floating ball has a specific gravity of 0.6 and a radius of 5.5 cm. You
are asked to find the depth to which the ball is submerged when floating in water.
The equation that gives the depth x to which the ball is submerged under water is
given by
f(x) = x4 – 8x³ – 35x² + 450x – 1001
Use the fixed-point iteration method, with the pre-specified tolerance of 0% (relative
percent true error of 0%) and consider the initial guess of x = 8.
Transcribed Image Text:A cadet engineer works in a manufacturing company that makes floats for ABC commodes. The floating ball has a specific gravity of 0.6 and a radius of 5.5 cm. You are asked to find the depth to which the ball is submerged when floating in water. The equation that gives the depth x to which the ball is submerged under water is given by f(x) = x4 – 8x³ – 35x² + 450x – 1001 Use the fixed-point iteration method, with the pre-specified tolerance of 0% (relative percent true error of 0%) and consider the initial guess of x = 8.
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