Application Problem of Root Finding8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You need to find the depth to which the ball is submerged when floating in water. Application Problem of Root Finding8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of5.5cm. You need to find the depth to which the ball is submerged when floating in water.RWaterFigure 1: Diagram of floating ball The equation that gives the depth x to which the ball is submerged under water is given byx3 – 0.165x? + 3.993 × 10-4 = 0a) Use the bisection method of finding roots of equations to find the depth x to which theball is submerged under water. Conduct ten iterations to estimate the root of the aboveequation.b) Find the absolute relative approximate error at the end of each iteration.

A floating ball has a specific gravity 0.6 and has radius of 5.5cm. The equation that gives the…

Answered: 8. In the diagram below, the floating…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Application Problem of Root Finding

8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm. You need 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
x3 – 0.165x? + 3.993 × 10-4 = 0
a) Use the bisection method of finding roots of equations to find the depth x to which the
ball is submerged under water. Conduct ten iterations to estimate the root of the above
equation.
b) Find the absolute relative approximate error at the end of each iteration.

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