Suppose y is implicitly defined as a function of x by x + y = 16y. (a) Find all points on the curve with x-coordinate 0. (x, y) = 0. - 4 (smallest y-value) (x, y) = 0.0 (x , y) = 0,4 (largest y-value) (b) Find the slope of the curve at each point in part (a). -1/32 (smallest y-value) 1/16 -1/32 (largest y-value) (c) How many horizontal tangent lines does the curve have? (d) Find the points on the curve where the slope becomes vertical (vertical tangent lines). (x, y) = 3 (smaller x-value) X 4 (x , y) = V3 (larger x-value)