Show all the necessary steps clearly and neatly 1. Find the vertices, foci, eccentricity and asymptotes of hyperbola whose equa- tion is 144x²-864x-25y2-50y=2329 and sketch the hyperbola. 2. A drinking cup in the shape of frustum of a cone with bottom diameter 4cm and top diameter 6cm, can contain a maximum of 80 cm³ of coffee. Find the height of the cup. 3. Find the domain and the ranges of the function f(x) = {3x+4 -1