. d _1 1 7. (12 pomts) (a) Show that E [sec m] = m (b) Show that i [csc'lx] = _; d9\" 3: 3:2 1 8. (10 points) A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the base of the wall at a speed of 2 ft / s, how fast is the angle between the ladder and the wall changing when the bottom of the ladder is 6 ft from the base of the wall