Write an equation for each horizontal asymptote of the graph of f '2' Please respond on separate paper, following directions om your teacher. Consider the curve given by x2 + 4y2 = 7 + 3xy. d a 2 (a) Show that Ema = . '2' Please respond on separate paper, following directions from your teacher. (b) Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate oil\". '2! Please respond on separate paper, following directions from your teacher. to) Find the value of {$- at the point P found in part (b). Does the curve have a local maximum, a local minimum, or neither at the point P? Justify your answer. @ Please respond on separate paper, following directions from your teacher. 5. (0, 6)4 (w, 6 - W2) X O ( V6, 0 ) Let f(x) =6 - x2 . For 0