The discussion revolves around finding the area inside a quadrilateral formed by four tangents to a cubic function, specifically the function y=(x-6)(x-1)(x-9). The tangents provided are linear equations that create a geometric shape, and the original poster expresses uncertainty about how to begin the problem.
Some participants suggest methods for finding the area, including determining the intersection points of the lines and calculating lengths, while others propose splitting the area into triangles. There is an ongoing exploration of these approaches without a clear consensus on the best method.
The original poster indicates a lack of starting points for the problem, and participants are working within the constraints of the given equations without additional information or context about the cubic function's behavior.
jahaddow said:Homework Statement
Ok, I have a cubic function, y=(x-6)(x-1)(x-9) or y = x3-16x2+69x-54
I then have four tangents to make a quadrilateral, the tangents are as follows.
y=7.75x+14.75
y=-6.25x+56.25
y=7.75x + -76.231
y=-6.25x + 31.602
I need to find the area inside the tangents, except I have no idea where to start, Thankyou for any help in advance.
jahaddow said:A Parallelogram, But I don't see how I can get the area from the equations?
jahaddow said:So, How do I do that?