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(a) The curve with equation y2 = x3 + 3x2 is called the Tschirnhausen cubic. Find...

(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) =
  
  (smaller y-value)
(x, y) =
  
  (larger y-value)



(c) Illustrate parts (a) and (b) by graphing the curve and the tangent lines on a common screen.

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Expert Solution

milcah answered 2 years ago
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