Provide a complete solution. Thank you.

1. Find - for each of the following. Do not simplify. dx a. x2 - X+2y x-2y b. y+ \\ y+vy =x c. tan(x y) = (x +y)3 2. Determine the equations of the tangent and normal lines to 16x4 + y* = 32 at the point (1,2). 3. Using Desmos, sketch the graph of 9x2 + 3y2 + 9xy = 27, then make a conjecture on the points where the tangent line is horizontal. Prove this by differentiating the equation implicitly