Notice that the curve given by the parametric equations x 81 t y t 1t is symetric about the x axis If t gives us the point x y then t will give x y At which x value is the tangent to this curve horizontal At x At which t value is the tangent to this curve vertical Att The curve makes a loop which lies along the x axis What is the total area inside the loop Area Graph the curve on a calculator Turn in a sketch of the curve