Fanciful shapes can be created by using the implicit plotting capabilities of computer algebra systems. (a) Graph
Question:
(a) Graph the curve with equation y(y2 – 1) (y – 2) = x(x – 1) (x – 2)
At how many points does this curve have horizontal tangents? Estimate the -coordinates of these points.
(b) Find equations of the tangent lines at the points (0, 1) and (0, 2).
(c) Find the exact -coordinates of the points in part (a).
(d) Create even more fanciful curves by modifying the equation in part (a).
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a 5 There are eight points with horizontal tangents fou...View the full answer
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