Suppose that f : R - R is a function with continuous first and second derivatives. Let J = /5 1(2 ) do . (a) Suppose that f (x) > 0 for all x, and let B = f(6) + f(7) + f(8). By using Riemann sums, or otherwise, decide which of the following holds: OJ B. There is not enough information to tell whether J = B, J > B or J 0 for all x, and let C = f(5.5) + f(6.5) + f(7.5) Decide which of the following holds: J C. There is not enough information to tell whether J > C, J = C or J C. O There is not enough information to tell whether J C or J = C. (d) As above, let C = f(5.5) + f(6.5) + f(7.5), and the sign of f is unspecified. Instead of f" (x) = 0, suppose now that f" (x) C. There is not enough information to tell whether J C or J = C