Statistics Solutions

[See Solution] Consider the curve C given parametrically by: x(t)=(3 t)/(1+t^3), y(t)=(3 t^2)/(1+t^3), t ∈ [0,10] Write the rectangular equation of the

Question: Consider the curve C given parametrically by:

\(x(t)=\frac{3 t}{1+t^{3}}, y(t)=\frac{3 t^{2}}{1+t^{3}}, t \in[0,10]\)

  1. Write the rectangular equation of the tangent line \(I\) to \(C\) at the point corresponding to \(t=1\).
  2. Find \(\frac{d^{2} y}{d x^{2}}\) at the point corresponding to \(t=1\).

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