Consider the parametric curve X(t) = (t - 5t, 3t). Graphing it shows that it intersects...
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Consider the parametric curve X(t) = (t³ - 5t, 3t²). Graphing it shows that it intersects itself. By solving for t₁ and to the equation X(t₁)= X(t₂), find the parameters where the curve intersects itself and give the coordinates of the point on the locus where this occurs. Consider the parametric curve X(t) = (t³ - 5t, 3t²). Graphing it shows that it intersects itself. By solving for t₁ and to the equation X(t₁)= X(t₂), find the parameters where the curve intersects itself and give the coordinates of the point on the locus where this occurs.
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To find the points of intersection we need to solve the equation Xt1 Xt2 for t1 and t2 ... View the full answer
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