The discussion revolves around finding the four critical points of the function f(x,y) = 5ycos(9x) that are closest to the origin (0,0). The problem involves concepts from calculus, specifically related to critical points and trigonometric functions.
The discussion is ongoing, with participants providing feedback on each other's attempts and questioning the accuracy of the derived points. Some guidance is offered regarding the format of the solutions, but there is no clear consensus on the correct critical points as multiple interpretations are being explored.
There is mention of an automatic checking system that may have specific requirements for input formats, which adds a layer of complexity to the problem-solving process. Participants express uncertainty about how to present their answers to meet these requirements.
mfb said:Usually the x-coordinate comes first and y second in the notation.
And check the spacing of the solutions in x, it is not pi/2.
mfb said:I don't know how powerful the automatic (?) system to check the points is. I would not try to feed it with calculations like that. Maybe it needs decimal numbers, maybe something like 3/18 pi is okay (but where is the point in things like "4-1"?
((1/18)pi(4+1),0) is not among the 4 closest points.