Previous Problem Problem List Next Problem (1 point) Find dy/dx in terms of x and y if cos (7y) + sin (7y) = y + 10. dy dx Preview My Answers Submit AnswersPrevious Problem Problem List Next Problem (1 point) Find the slope of the tangent line to the curve (a lemniscate) 2(x2 + 12)2 = 25(x2 - 12) at the point (3, -1). The slope of the lemniscate at the given point is(1 point) The graph of the equation x2 + xy + y2 = 1 is an ellipse lying obliquely in the plane, as illustrated in the figure below. y dy . C t . a ompue dx 2 _ dx 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 = 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 x = (I. 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 % = 0. To find the vertical tangent use symmetry, or solve j: = 0. Entering Points A point must use parentheses and commas: (4 .5, 3/7) is a valid point in 2 dimensions (pi,e,2) is avalid point in 3 dimensions If the answer is more than one Fm Enter your answer as a comma-separated list of points, for example: (4 , 3 ) , (5 , 10) If there are no solutions: Enter NONE or DNE (this may vary from problem to problem) Examples of constants used in points: pi. e = e"1 Functions may be used in each coordinate of a point, but may not be applied across the parentheses or commas: (sqrt(2),sqrt(5)) is valid, but (sqrt(2,5)) is not Link to a list of all available functions (I point) Let f(x) = (In x)4 f' (x ) = f' (et) =