30-33

30. Let f(x) be the function defined by f (x) = In x - x. Find the value of c for which the instantaneous rate of change of f(x) at x = c is the same as the average rate of change of f(x) over [1, 5]. e) -1 a) -0.598 b ) 1 c) 2.485 d) -2.391 31. If G(x) and g(x) are continuous functions such that G' (x) = g(x) for all x, then log(x ) dx = a) G'(a) - G'(b) b) G' (b) - G'(a) c) G(a) - G(b) d) G(b) - G(a) e) none of these 32. Let f(x) be the function given by f (x) = 5x e*. For what values of x is f(x) concave upward? a ) x > - 2 b ) x -1 /d) x0 33. The graph of a piecewise linear function f(x), for -1