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1. Given parametric equations below, find the values of t where the the parametric curve has...

1. Given parametric equations below, find the values of t where the the parametric curve has a horizontal and vertical tangents.

a) x=t^2 - t, y= t^2 + t

b) x= e^(t/10)cos(t), y= e^(t/10)sin(t)

2. Find the arc length of the graph of the parametric equations on the given intervals.

a) x= 4t+2, y = 1-3t , −1 ≤ t ≤ 1

b) x= e^(t/10)cos(t), y= e^(t/10)sin(t), 0 ≤ t ≤ 2π

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