This is for the infamous Calc 2 Goblet Maple Project
I have tried everything changed all the numbers and got nowhere or worse results. The only thing that accurately works is the example project:
(0, 1.5) and end at (0.5, 0.2). which equals f1(x)=-2.6x+1.5
and f2:=x->0.2+0.05*sin(2*(x-0.5)) which is really 0.2+0.05sin(2x-1)
The goal is to change the example project so it becomes something of my own creation.
When I change f2:=x->0.4+0.05*sin(2*x-0.5)) it is at least attached but forms a sharp dip down first then connects at the point when it should be smooth curve. It seems you can do anything to the other curve
x -> a x^3 + b x^2 + c x + d
166.375 a + 30.25 b + 5.5 c + d = 0.3727989445
343 a + 49 b + 7 c + d = 1
421.875 a + 56.25 b + 7.5 c + d = 0.9
729 a + 81 b + 9 c + d = 1.6
F:=x->piecewise(x<0.5,f1(x),x>=0.5 and x<5.5,f2(x),x>=5.5,f3(x));
So how can this be fixed?