please use maple to solve this

3. Consider the equation x2+3y24xy3=1. (a) Verify that the point P(1,43) belongs to the curve y(x). (b) Compute the slope of the tangenet line to the curve y(x) at P. (c) Find an equation of the tangent line to the graph of the equation at P. (d) Plot the original equation and the tangent line on the same set of axes using different thicknesses, linestyles and colors