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f(h)=h'-9h² +3.8197 = 0 Use the bisection method of finding roots of equations to find the height, h, to which the dipstick is wet with oil. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration.

f(h)=h'-9h² +3.8197 = 0 Use the bisection method of finding roots of equations to find the height, h, to which the dipstick is wet with oil. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration.

Advanced Engineering Mathematics
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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Please write a code in MATLAB by using the BISECTION METHOD to solve the problem below. Thank you!

Example 1 You have a spherical storage tank containing oil. The tank has a diameter of 6 ft. You are asked to calculate the height h to which a dipstick 8 ft long would be wet with oil when immersed in the tank when it contains 4 ft³ of oil. -Dipstick Spherical Storage Tank Figure 1 Spherical storage tank problem. The equation that gives the height, h, of the liquid in the spherical tank for the given volume and radius is given by f(h)=h²-9h² +3.8197= 0 Use the bisection method of finding roots of equations to find the height, h, to which the dipstick is wet with oil. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration. 03.03.1 €
Transcribed Image Text:Example 1 You have a spherical storage tank containing oil. The tank has a diameter of 6 ft. You are asked to calculate the height h to which a dipstick 8 ft long would be wet with oil when immersed in the tank when it contains 4 ft³ of oil. -Dipstick Spherical Storage Tank Figure 1 Spherical storage tank problem. The equation that gives the height, h, of the liquid in the spherical tank for the given volume and radius is given by f(h)=h²-9h² +3.8197= 0 Use the bisection method of finding roots of equations to find the height, h, to which the dipstick is wet with oil. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration. 03.03.1 €
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