A person standing near the edge of a cliff 48 feet above a lake throws a rock up in the air. The rocks's height above the surface of the lake is given by h(x) = 16x 2 + 32x + 48, where x is the horizontal distance traveled by the rock from the person's feet. a) (i) Find the maximum height attained by the rock from the surface of the lake (ii) the horizontal distance traveled by the rock when it reached maximum height b) Find the horizontal distance traveled by the rock when it hits the surface of the lake.(35pts)