Suppose that a

Suppose that a h. Decide which of thc IOIlowing slale"lenls arc and which are [alse. Prove lhe true ones and give counterexamples the [alse ones. a) If f and g are nonnegative real functions on la. D]. Witn J continuous and g Riemann integrable on [a, hl, then there exist .vo,.V1 e [a, b) such that = f(.vo) g(x) dx. b) If f and g are Riemann integrable on [a. b] and f is continuous, then there is an [a, hl such that dx = f (xo) g(x) dx.