I have an equation as a function of time. (eq1) C(t) = Css + a(e^.5t) + b(e^.9t) t>0
Where, Css is a constant. then I have 6 data points of time and C (Concentration of a liquid)
1. I have to find an equation to find the maximum time and contains a, b and Css.
2. I have to show the complete least squares derivation based on equation 1 as the approximating function.
First of all, I'm wondering what the difference between 1 and 2 are... both are ways to find tmax. Also, when doing a least squares method, I don't know exactly how to decide what to type of equation to choose to find my a, b and Css. Will a polynomial work since this function involves exponentials... and how would i decide what degree polynomial to use? Since I should have 3 systems of equations should I go up to a third degree polynomial?