Let x = 2t², y = - 4t³ +36t². dy Determine as a function of t, then find the slope of the parametric curve at t = 6. dz dy dz d'y as a function of t, then find the concavity of the parametric curve at t = 6. dz² = dy da Determine d²y dz² d²y da2 (6) At t = 6, the parametric curve has O a relative minimum. O a relative maximum. O neither a maximum nor minimum. O not enough information to determine if the curve has an extrema. (Hint: The Second Derivative Test for Extrema could help.) -(6)

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