(1 point) Find dy/ da in terms of a and y if cos? (3y) + sin(3y) = y + 14. dy('1 point) Find the slope of the tangent line to the curve (a lemniecate) 2(w2 + y2]2 = 25(272 y) at the point (3, 1). The slope of the lemniecate at the given point is (1 point) The graph of the equation a2 + xy + y' = 6 is an ellipse lying obliquely in the plane, as illustrated in the figure below. a. Compute dy dx dy da b. The ellipse has two horizontal tangents. Find an equation of the lower one. The lower horizontal tangent line is defined by the equation y = c. The ellipse has two vertical tangents. Find an equation of the leftmost one. The leftmost vertical tangent line is defined by the equation > = d. Find the point at which the leftmost vertical tangent line touches the ellipse. The leftmost vertical tangent line touches the ellipse at the point Hint: The horizontal tangent is of course characterized by d 24 = 0. To find the vertical tangent use symmetry, or solve = = 0.(1 point) For the equation given below, evaluate y' at the point (1, 2). 6ery - 4x = y + 38.3. y' at (1, 2) =(1 point) Find dy/ da in terms of a and y if ax - by? = c'. Assume that a, b and c are constants. dy