please help me solve this using Maple

1) Fanciful shapes can be created by using the implicit plotting capabilities of Maple. . Graph the curve with equation )(V -1)(1 -2) = x(x -1)(x - 2) At how many points does the curve have horizontal tangents? Estimate the x- coordinates of these points. Find the equations of the tangent lines at the points (0,1) and (0,2) Find the exact x-coordinates of the points of these points. . Create even more fanciful curves by modifying the equation 2) The figure shows a circle with radius 1 inscribed in the parabola V = x-. Find the center of the circle. 3) Find the point on the parabola * + )'" = that is closest to the point (0, -3). x' + 7x+3 4) Sketch the graph of x 2 , locate all maximum and minimum values, intervals of increase and decrease, and inflection points. 5) Find the maximum value of f (x ) on the indicated interval. f (x ) = v1+x2 [0,2]