Problem 1.

A. The maximum is achieved at the vertex of the parabola described by R(x). That will give you the value for x.

One way is to set the derivative R' = 0

The other way, since a parabola is axially symmetric with respect to the line through the apex, that is maximum of R occurs at x0 = (x1 +x2)/2, x1 and x2 are the roots of R. What are their values?

B. Evaluate R(x0)

c. Evaluate p(x0).

work out this problem first, then we see what next