Question

Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find...

Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?.

Find the values for t where the tangent lines are horizontal on the parametric curve. For the horizontal tangent lines, you do not need to find the (x,y) pairs for these values of t.

Find the values for t where the tangent lines are vertical on the parametric curve. For these values of t find the coordinates of the points on the parametric curve.

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