How do I solve implicit plotting capabilities of Maple?

Question:How do I solve implicit plotting capabilities of Maple?

Posted: wisyallsip132 45 Product: Maple 2021

December 07 2021

Graph the curve with equation y(y2 −1)(y − 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.

PLEASE WRITE STEP BY STEP IN MAPLE

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