(a) Sketch the path x(t) = (t,t3 − 2t + 1).
(b) Calculate the line tangent to x when t = 2.
(c) Describe the image of x by an equation of the form y = f (x) by eliminating t.
(d) Verify your answer in part (b) by recalculating the tangent line, using your result in part (c).
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