In: Math
(a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve at the point
(1, 2).
y =
(b) At what points does this curve have horizontal tangents?
(x, y) | = |
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(x, y) | = |
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(c) Illustrate parts (a) and (b) by graphing the curve and the
tangent lines on a common screen.