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Unformatted text preview: 1 Nonlinear Equations Your nonlinearity confuses me 2 3 4 5 ï€½ ï€« ï€« ï€« ï€« ï€« f ex dx cx bx ax http://numericalmethods.eng.usf.edu Numerical Methods for the STEM undergraduate Example â€“ General Engineering You are working for â€˜DOWN THE TOILET COMPANYâ€™ 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. 2 Figure Diagram of the floating ball 10 993 . 3 165 . 4 2 3 ï€½ ï‚´ ï€« ï€ ï€ x x Example â€“ Mechanical Engineering A trunnion has to be cooled before it is shrink fitted into a steel hub 3 Trunnion to be slid through the hub after contracting. The equation that gives the temperature x to which the trunnion has to be cooled to obtain the desired contraction is given by the following equation. ï€¨ ï€© 10 88318 10 74363 10 38292 10 50598 2 4 2 7 3 10 ï€½ ï‚´ ï€« ï‚´ ï€« ï‚´ ï€« ï‚´ ï€ ï€½ ï€ ï€ ï€ ï€ . x . x . x . x f Nonlinear Equations (Background) http://numericalmethods.eng.usf.edu Numerical Methods for the STEM undergraduate How many roots can a nonlinear equation have? 1 2 3 sin(x)=2 has no roots2010 10 20321 How many roots can a nonlinear equation have?...
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida  Tampa.
 Spring '08
 Kaw,A

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