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GEOMETRY application - a problem
03-25-2020, 10:47 PM
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GEOMETRY application - a problem
I wanted to report problems in the GEOMETRY application. The program does not find all intersection points of two functions y = f (x). For example: y = sin (x) and y = cos (x). The inter (GA, GB) or similar single_inter command finds only 2 intersection points and one foreign intersection (see this in the attached screenshot). However, when I introduced the restriction, x> 0 AND x <18, I again received only one real solution and one foreign one. However, I noticed a very interesting thing. When I entered the CAS application and entered coordinates (GC), I received a beautiful list of all solutions. Awesome. It follows that CAS calculates well the solutions of the system of equations sin (x) = cos (x). However, the PLOT graphic window does not mark these intersection points.
In the second example, there are functions y = abs (x) -5 and y = x ^ 2-5. And here is also a problem. There are 3 solutions for this system of equations. The calculator graphically found only two. In the third example, we have y = (1/2) ^ x and y = -x ^ 2 +3. There are 2 points of intersection. The calculator graphically showed only one intersection. And the last example. The functions y = LOG (x) and y = x ^ 2-5. There are two solutions. In the PLOT window we see one true and one foreign solution. However, CAS did not provide all the solutions in the last three examples. He showed similar solutions as the PLOT graphic window. And this is a problem and a mistake.
These are serious errors that must be urgently removed. And another important detail to this topic. I used to solve all these graphical systems of equations using Firmware Version 2013 11 25 Rew. 5447.
There was no problem. Everything has been solved correctly. I can not understand it.

                   
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GEOMETRY application - a problem - Jan 11 - 03-25-2020 10:47 PM



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