Let u > 1. Show that 6"6 u1 >61116. Justify your answer. Hint: Apply the Mean Value Theorem to f(x) = 6' on [1, u]. Assume that the radius r of the cylinder below is decreasing at a rate of 3 m/s, and that its height h is increasing at a rate of 4 m/s. How fast is the diagonal L of the cylinder changing when the radius of the cylinder becomes 1 m and its height becomes 4 m? Note that the diagonal L is given by L2 = 4r2 + h2. height radius