Suppose f(X) =×3 + 2, x€[0, 2].
(a) Find the slope of the secant line connecting the points (x, y) = (0, 2) and (2, 10).
(b) Find a number c€(0, 1 such that f'(c) is equal to the slope of the secant line you computed in (a), and explain why such a number must exist in (0, 2).
(a) The slope of the secant line is___(Type an integer or a simplified fraction.)
