Hello, and than' you

1. Consider the curve given by the equation x2 + xy + y2 = 27 . a) Write an expression for the slope of the curve at any point (x, y). b) Determine Whether the lines tangent to the curve at the X-intercepts of the curve are parallel. Show the analysis that leads to your conclusion. c) Find the coordinates of the points on the curve Where the tangent lines are vertical