Solve xsin(x)=(x-6)^2 Equation | Homework Help

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Homework Help Overview

The discussion revolves around the equation xsin(x)=(x-6)^2, which is related to a solid of revolution problem. Participants are exploring methods to find the points of intersection of the two functions involved.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • One participant suggests using Newton's method as an iterative technique, acknowledging the difficulty of solving the equation algebraically. Another participant expresses reluctance to use this method, noting their lack of experience with trigonometric functions and questioning the algebraic solvability of the equation.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the methods available for solving the equation. There is recognition of the challenges involved, particularly regarding the algebraic approach, and some guidance has been offered regarding iterative techniques.

Contextual Notes

One participant mentions their lack of experience with trigonometric classes, which may influence their understanding of the problem and the methods discussed.

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Homework Statement


xsin(x)=(x-6)^2


This is for a solid of revolution problem, and I am trying to set these equal to each other to find the points of intersection. How can I solve this equation?

Thanks

Homework Equations





The Attempt at a Solution

 
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Do you know Newton's method? You'll have to resort to an iterative technique. This can't be solved algebraically.
 


Yeah, I know Newtons method, but really would have rather not resorted to that...LoL... anyways, I did not believe it to be solvable algebraically, but then again, I never took a trig class.


Thanks
 


danerape said:

Homework Statement


xsin(x)=(x-6)^2


This is for a solid of revolution problem, and I am trying to set these equal to each other to find the points of intersection. How can I solve this equation?

Thanks

Homework Equations





The Attempt at a Solution


Maybe if for very minute x value you can set sinx=x ?
 

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